Shkalikov, Andrei Andreevich

Total publications: 145 (130)
in MathSciNet: 126 (115)
in zbMATH: 98 (91)
in Web of Science: 76 (68)
in Scopus: 51 (48)
Cited articles: 105
Citations in Math-Net.Ru: 1017
Citations in MathSciNet: 1335
Citations in Web of Science: 1209
Citations in Scopus: 628
Presentations: 21

Number of views:
This page:14499
Abstract pages:39627
Full texts:11475
Corresponding member of RAS
Doctor of physico-mathematical sciences (1988)
Birth date: 19.11.1949
E-mail: ,
List of publications on Google Scholar
List of publications on ZentralBlatt

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

1. A. M. Savchuk, A. A. Shkalikov, “Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients”, Sb. Math., 211:11 (2020), 1623–1659  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. O. V. Anashkin, E. M. Varfolomeev, V. I. Voytitsky, V. I. Donskoy, D. A. Zakora, A. B. Muravnik, M. A. Muratov, Yu. S. Pashkova, V. È. Petrov, E. V. Plokhaya, A. L. Skubachevskii, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, V. N. Chekhov, A. A. Shkalikov, A. I. Yakovlev, “Nikolay Dmitrievich Kopachevsky. March 25, 1940 — May 18, 2020”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 66, no. 2, PFUR, M., 2020, 157–159  mathnet  crossref
3. A. K. Motovilov, A. A. Shkalikov, “Preserving of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators”, Funktsional. Anal. i Prilozhen.  mathnet  crossref  mathscinet  zmath  elib

4. V. E. Vladykina, A. A. Shkalikov, “Spectral Properties of Ordinary Differential Operators with Involution”, Doklady Mathematics, 99:1 (2019), 5–10  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus (cited: 2)
5. A. A. Shkalikov, “Basis Properties of Root Functions of Differential Operators with Spectral Parameter in the Boundary Conditions”, Diff. Equat., 55:5 (2019), 631–643  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 6)
6. V. E. Vladykina, A. A. Shkalikov, “Regular Ordinary Differential Operators with Involution”, Math. Notes, 106:5 (2019), 674–687  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 3)

7. Yu. A. Alkhutov, V. F. Butuzov, V. V. Kozlov, A. A. Kon'kov, A. V. Mikhalev, E. I. Moiseev, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, I. N. Sergeev, M. D. Surnachev, R. N. Tikhomirov, V. N. Chubarikov, T. A. Shaposhnikova, A. A. Shkalikov, “Vasilii Vasilievich Zhikov”, J. Math. Sci. (N. Y.), 244:2 (2020), 113–115  mathnet  crossref  mathscinet  elib  scopus

8. A. A. Belyaev, A. A. Shkalikov, “Multipliers in Bessel potential spaces with smoothness indices of different sign”, St. Petersburg Math. Jour., 30:2 (2019), 203–218  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)

9. N. N. Konechnaja, K. A. Mirzoev, A. A. Shkalikov, “On the Asymptotic Behavior of Solutions to Two-Term Differential Equations with Singular Coefficients”, Math. Notes, 104:2 (2018), 244–252  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 6)
10. S. N. Tumanov, A. A. Shkalikov, “Spectral portraits in the semi-classical approximation of the Sturm–Liouville problem with a complex potential”, 7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018 (Moscow, 2018, August 27-31), Journ. of Physics: Conf. series, 1141, 2018, 012155 , 14 pp.  crossref  elib  scopus (cited: 1)
11. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Russian Math. Surveys, 73:1 (2018), 161–167  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
12. Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov, “Vasilii Vasil'evich Zhikov (obituary)”, Russian Math. Surveys, 73:3 (2018), 533–542  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib

13. A. M. Savchuk, A. A. Shkalikov, “Spectral Properties of the Complex Airy Operator on the Half-Line”, Funct. Anal. Appl., 51:1 (2017), 66–79  mathnet  crossref  crossref  mathscinet  isi (cited: 9)  elib  elib  scopus (cited: 11)
14. D. V. Treschev, A. A. Shkalikov, “On the Hamiltonian Property of Linear Dynamical Systems in Hilbert Space”, Math. Notes, 101:6 (2017), 1033–1039  mathnet  crossref  crossref  mathscinet  isi (cited: 10)  elib  scopus (cited: 10)
15. A. K. Motovilov, A. A. Shkalikov, “Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators”, Eurasian Math. J., 8:1 (2017), 119–127  mathnet (cited: 1)  mathscinet  isi (cited: 2)  elib  scopus (cited: 2)
16. A. A. Belyaev, A. A. Shkalikov, “Multipliers in Spaces of Bessel Potentials: The Case of Indices of Nonnegative Smoothness”, Math. Notes, 102:5 (2017), 632–644  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 3)
17. S. N. Tumanov, A. A. Shkalikov, “Eigenvalue dynamics of a $PT$-symmetric Sturm–Liouville operator and criteria for similarity to a self-adjoint or a normal operator”, Doklady Mathematics, 96:3 (2017), 607–611  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)

18. V. L. Geynts, A. A. Shkalikov, “Estimate of the Ratio of Two Entire Functions whose Zeros Coincide in the Disk”, Math. Notes, 99:6 (2016), 870–878  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
19. K. A. Mirzoev, A. A. Shkalikov, “Differential Operators of Even Order with Distribution Coefficients”, Math. Notes, 99:5 (2016), 779–784  mathnet  crossref  crossref  mathscinet  isi (cited: 13)  elib  elib  scopus (cited: 15)
20. A. A. Shkalikov, “Perturbations of self-adjoint and normal operators with discrete spectrum”, Russian Math. Surveys, 71:5 (2016), 907–964  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 23)  elib  elib  scopus (cited: 25)
21. A. A. Shkalikov, C. Trunk, “On Stability of Closedness and Self-Adjointness for $2\times 2$ Operator Matrices”, Math. Notes, 100:6 (2016), 870–875  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)
22. V. V. Zhikov, A. A. Shkalikov, “To the memory of Boris Moiseevich Levitan (on the 100th anniversary of his birth)”, Russian Math. Surveys, 71:3 (2016), 601–603  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

23. V. E. Vladikina, A. A. Shkalikov, “Asymptotics of the Solutions of the Sturm–Liouville Equation with Singular Coefficients”, Math. Notes, 98:6 (2015), 891–899  mathnet  crossref  crossref  mathscinet  isi (cited: 11)  elib  scopus (cited: 10)
24. S. N. Tumanov, A. A. Shkalikov, “The limit spectral graph in semiclassical approximation for the Sturm–-Liouville problem with complex polynomial potential”, Doklady Mathematics, 92:3 (2015), 773–777  crossref  mathscinet  zmath  zmath  isi (cited: 3)  elib  elib  scopus (cited: 3)
25. V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

26. T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, “Interpolation of Nonlinear Maps”, Math. Notes, 96:6 (2014), 957–964  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
27. Math. Notes, 96:5 (2014), 777–810  mathnet  crossref  mathscinet  isi (cited: 23)  elib  scopus (cited: 26)
28. A. M. Savchuk, A. A. Shkalikov, “Recovering a Potential of Sturm-Liouville Problem from Finite Sets of Spectral Data”, American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences, 233 (2014), 211–224  mathscinet  zmath
29. V. V. Zhikov, A. A. Shkalikov, “In memory of Boris Moiseevich Levitan (1914–2004)”, Trans. Moscow Math. Soc., 75 (2014), 87–88  mathnet  crossref  elib  scopus
30. V. V. Aleksandrov, V. P. Karlikov, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Academician Viktor Antonovich Sadovnichii to 75th anniversary”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 3–5  mathnet

31. A. M. Savchuk, A. A. Shkalikov, “On the Interpolation of Analytic Mappings”, Math. Notes, 94:4 (2013), 547–550  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus
32. J. Ben Amara, A. A. Vladimirov, A. A. Shkalikov, “Spectral and Oscillatory Properties of a Linear Pencil of Fourth-Order Differential Operators”, Math. Notes, 94:1 (2013), 49–59  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib  elib  scopus (cited: 5)
33. L. K. Kusainova, A. Zh. Monashova, A. A. Shkalikov, “Asymptotics of Eigenvalues of a Second-Order Non-Self-Adjoint Differential Operator on the Axis”, Math. Notes, 93:4 (2013), 629–632  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 2)
34. A. M. Savchuk, A. A. Shkalikov, “Uniform stability of the inverse Sturm–Liouville problem with respect to the spectral function in the scale of Sobolev spaces”, Proc. Steklov Inst. Math., 283 (2013), 181–196  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib
35. A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Russian Math. Surveys, 68:4 (2013), 783–788  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

36. A. A. Shkalikov, “Eigenvalue Asymptotics of Perturbed Self-adjoint Operators”, Methods of Functional Analysis and Topology, 18:1 (2012), 89–102  mathscinet

37. A. M. Savchuk, A. A. Shkalikov, “Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability”, Funct. Anal. Appl., 44:4 (2010), 270–285  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 34)  elib  elib  scopus (cited: 25)
38. A. A. Shkalikov, “On the basis property of root vectors of a perturbed self-adjoint operator”, Proc. Steklov Inst. Math., 269 (2010), 284–298  mathnet  crossref  mathscinet  zmath  isi (cited: 21)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 17)
39. M. S. Agranovich, V. M. Buchstaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (obituary)”, Russian Math. Surveys, 65:4 (2010), 767–780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

40. V. I. Pokotilo, A. A. Shkalikov, “Semiclassical Approximation for a Nonself-Adjoint Sturm–Liouville Problem with a Parabolic Potential”, Math. Notes, 86:3 (2009), 442–446  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 6)
41. O. A. Veliev, A. A. Shkalikov, “On the Riesz Basis Property of the Eigen- and Associated Functions of Periodic and Antiperiodic Sturm–Liouville Problems”, Math. Notes, 85:6 (2009), 647–660  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 33)  elib (cited: 15)  elib (cited: 15)  scopus (cited: 26)
42. S. Albeverio, A.K. Motovilov and A.A. Shkalikov, “Bounds on variation of spectral subspaces under J-self-adjoint perturbations”, Integral Equations Operator Theory, 64:4 (2009), 455–486  crossref  mathscinet  zmath  isi (cited: 19)  elib  scopus (cited: 19)
43. Zh.Ben Amara, A. A. Shkalikov, “Ostsillyatsionnye teoremy dlya zadach Shturma-Liuvillya s potentsialami-raspredeleniyami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 64:3 (2009), 43–49  mathnet (cited: 1)  mathscinet  zmath
44. A. A. Shkalikov, “Teoriya vozmuscheniya dlya tochek diskretnogo spektra dissipativnykh operator-funktsii”, Differentsialnye uravneniya, 45:4 (2009), 564–574  mathscinet  zmath  elib
45. A. A. Shkalikov, “Problemy invaritantnykh podprostranstv i faktorizatsii v teorii operatorov”, Tr. Mezhd. konferentsii, posvyaschennoi 85-letiyu L.D.Kudryavtseva, Izd-vo fiz.-techn. in-ta, Moskva, 2009, 137–154
46. A. A. Shkalikov, “The papers of G.V.Radzievskii on completeness, minimality and basisness of root vectors of operator pencils. Ideas and developments”, Proceedings of Math. Inst. of Ukranian Acad. of Science, 6:1 (2009), 330–356  zmath
47. V. V. Aleksandrov, V. P. Karlikov, A. G. Kostyuchenko, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 3–6  mathnet  mathscinet

48. A. M. Savchuk, A. A. Shkalikov, “On the Properties of Maps Connected with Inverse Sturm–Liouville Problems”, Proc. Steklov Inst. Math., 260 (2008), 218–237  mathnet  crossref  mathscinet  zmath  isi (cited: 17)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 10)

49. A. A. Shkalikov, “Dissipative Operators in the Krein Space. Invariant Subspaces and Properties of Restrictions”, Funct. Anal. Appl., 41:2 (2007), 154–167  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib  elib  scopus (cited: 10)
50. E. A. Shiryaev, A. A. Shkalikov, “Regular and Completely Regular Differential Operators”, Math. Notes, 81:4 (2007), 566–570  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 9)
51. A. A. Shkalikov, “Spectral analysis of the Redge problem.”, Journal of Mathematical Sciences, 144:4 (2007), 4292–4300  crossref  mathscinet  zmath  scopus (cited: 3)

52. A. M. Savchuk, A. A. Shkalikov, “On the eigenvalues of the Sturm–Liouville operator with potentials from Sobolev spaces”, Math. Notes, 80:6 (2006), 814–832  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 45)  elib  elib  scopus (cited: 19)
53. M .I. Neiman-zade and A. A. Shkalikov, “Strongly elliptic operators with singular coefficients”, Russ. J. Math. Phys., 13:1 (2006), 70–78  crossref  mathscinet  zmath  isi (cited: 10)  elib  scopus (cited: 10)
54. A.G.Kostyuchenko, V.P.Maslov, V.A. Sadovnichii, I.S. Sargsyan, A.A.Shkalikov, V.V. Zhikov, “In memory of Boris Levitan”, Russ. J. Math. Phys., 13:1 (2006), 1–3  crossref  mathscinet  zmath  isi

55. A. A. Shkalikov, “Invariant Subspaces of Dissipative Operators in a Space with Indefinite Metric”, Proc. Steklov Inst. Math., 248 (2005), 287–296  mathnet  mathscinet  zmath
56. A. M. Savchuk, A. A. Shkalikov, “Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra”, Russ. J. Math. Phys., 12:4 (2005), 507–514  mathscinet  zmath  isi (cited: 25)  elib
57. I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5, 77–79  mathnet  mathscinet  zmath

58. R. O. Hryniv, A. A. Shkalikov, “Exponential Decay of Solution Energy for Equations Associated with Some Operator Models of Mechanics”, Funct. Anal. Appl., 38:3 (2004), 163–172  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 8)
59. A. A. Shkalikov, “Invariant subspaces of dissipative operators in Krein space and Sobolev problem on a rotating top.”, Functional analysis and its applications., Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach (Lviv, Ukraine, May 28–31, 2002), North-Holland Mathematics Studies, 197, Elsevier Sci. B. V., Amsterdam, 2004, 273–286  crossref  mathscinet  zmath
60. A. A. Shkalikov, “Spectral Portraits of the Orr–Sommerfeld Operator with Large Reynolds Numbers”, Journal of Mathematical Sciences, 124:6 (2004), 5417–5441  mathnet  crossref  mathscinet  zmath

61. R. O. Hryniv, A. A. Shkalikov, “Exponential Stability of Semigroups Related to Operator Models in Mechanics”, Math. Notes, 73:5 (2003), 618–624  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 17)  scopus (cited: 10)
62. A. A. Shkalikov, “Differential equations in a Hilbert space with dissipative symbols”, Jour. Math. Sci., 114:4 (2003), 1571–1588  crossref  mathscinet
63. M. Marletta, A. A. Shkalikov and C. Tretter, “Pencils of differential operators containing the eigenvalue parameter in the boundary conditions”, Proc. Roy. Soc. Edinburgh Sect. A, 133:4 (2003), 893–917  crossref  mathscinet  zmath  isi (cited: 11)
64. A. M. Savchuk, A. A. Shkalikov, “Sturm-Liouville operators with distribution potentials”, Translations of Moscow Mathematical Society, 64 (2003), 143–192  mathscinet  zmath
65. T. D. Venttsel', V. S. Vladimirov, V. V. Zhikov, A. M. Il'in, V. A. Il'in, V. A. Kondrat'ev, L. D. Kudryavtsev, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Osipov, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, L. D. Faddeev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Ol'ga Arsen'evna Oleinik (obituary)”, Russian Math. Surveys, 58:1 (2003), 161–172  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

66. A. V. D'yachenko, A. A. Shkalikov, “On a Model Problem for the Orr–Sommerfeld Equation with Linear Profile”, Funct. Anal. Appl., 36:3 (2002), 228–232  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 12)
67. M. I. Neiman-Zade, A. A. Shkalikov, “On the computing of the eigenvalues of the Orr–Sommerfeld problem”, Fundam. Prikl. Mat., 8:1 (2002), 301–305  mathnet  mathscinet  zmath
68. S. N. Tumanov, A. A. Shkalikov, “On the limit behaviour of the spectrum of a model problem for the Orr–Sommerfeld equation with Poiseuille profile”, Izv. Math., 66:4 (2002), 829–856  mathnet  crossref  crossref  mathscinet  zmath  scopus (cited: 11)
69. S. N. Tumanov, A. A. Shkalikov, “On the Spectrum Localization of the Orr–Sommerfeld Problem for Large Reynolds Numbers”, Math. Notes, 72:4 (2002), 519–526  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 5)
70. A. A. Shkalikov, J. Bak, “Multipliers in Dual Sobolev Spaces and Schrödinger Operators with Distribution Potentials”, Math. Notes, 71:5 (2002), 587–594  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 8)
71. A. A. Vladimirov, R. O. Griniv, A. A. Shkalikov, “Spektralnyi analiz periodicheskikh differentsialnykh operator-matrits smeshannogo poryadka”, Tr. Mosk. matem. ob-va, 63 (2002), 45–86  zmath

72. A. M. Savchuk, A. A. Shkalikov, “Trace Formula for Sturm–Liouville Operators with Singular Potentials”, Math. Notes, 69:3 (2001), 387–400  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 26)  elib (cited: 3)
73. M. I. Neiman-zade, A. M. Savchuk and A. A. Shkalikov, “Schrödinger operators with singular potentials”, Spectral and evolution problems (Sevastopol, 2000), 11, Natl. Taurida Univ. “V. Vernadsky”, Simferopol, 2001, 3–8  mathscinet
74. A. G. Kostyuchenko and A. A. Shkalikov, “Scattering of waves by periodic gratings and factorization problems”, Recent advances in operator theory (Groningen, 1998), Oper. Theory Adv. Appl., 124, Birkhauser, Basel, 2001, 361–383  mathscinet  zmath
75. A. A. Shkalikov, “Spectral analysis of the Regge problem”, Russ. J. Math. Phys., 8:3 (2001), 356–364  mathscinet  zmath  isi (cited: 6)

76. R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Math. Notes, 68:1 (2000), 57–70  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
77. R. O. Hryniv, A. A. Shkalikov and A. A. Vladimirov, “Differential operator matrices of mixed order with periodic coefficients”, Differential operators and related topics, Vol. I (Odessa, 1997), Oper. Theory Adv. Appl., 117, Birkhauser, Basel, 2000, 155–164  mathscinet  zmath  isi

78. A. A. Shkalikov, “On the existence of invariant subspaces of dissipative operators in space with indefinite metric”, Fundam. Prikl. Mat., 5:2 (1999), 627–635  mathnet  mathscinet  zmath
79. A. M. Savchuk, A. A. Shkalikov, “Sturm–Liouville operators with singular potentials”, Math. Notes, 66:6 (1999), 741–753  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 177)  elib (cited: 55)
80. M. I. Neiman-Zade, A. A. Shkalikov, “Schrödinger operators with singular potentials from spaces of multipliers”, Math. Notes, 66:5 (1999), 599–607  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 36)
81. J. Ben Amara, A. A. Shkalikov, “A Sturm–Liouville problem with physical and spectral parameters in boundary conditions”, Math. Notes, 66:2 (1999), 127–134  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 25)
82. R. O. Griniv, A. A. Shkalikov, “Operatornye modeli v teorii uprugosti i gidrodinamiki”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1999, no. 5, 5–14  mathnet (cited: 4)  mathscinet  zmath

83. A. G. Kostyuchenko, A. A. Shkalikov, M. Yu. Yurkin, “On the Stability of a Top with a Cavity Filled with a Viscous Fluid”, Funct. Anal. Appl., 32:2 (1998), 100–113  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)
84. A. A. Shkalikov, “Factorization of elliptic pencils and the Mandelstam hypothesis”, Contributions to operator theory in spaces with an indefinite metric (Vienna, 1995), Oper. Theory Adv. Appl., 106, Birkhauser, Basel, 1998, 355–387  mathscinet  zmath
85. R. Mennicken, H. Schmid and A. A. Shkalikov, “On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter”, Math. Nachr., 189 (1998), 157–170  crossref  mathscinet  zmath  isi (cited: 31)  scopus (cited: 33)
86. A. A. Shkalikov, “Kak opredelit operator Orra-Zommerfelda?”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 53:4 (1998), 36–43  mathnet (cited: 2)  mathscinet  zmath

87. A. A. Shkalikov, “The limit behavior of the spectrum for large parameter values in a model problem”, Math. Notes, 62:6 (1997), 796–799  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 25)

88. A. A. Shkalikov, “Operator pencils arising in elasticity and hydrodynamics: the instability index formula”, Recent developments in operator theory and its applications (Winnipeg, MB, 1994), Oper. Theory Adv. Appl., 87, Birkhauser, Basel, 1996, 358–385  mathscinet  zmath
89. A. A. Shkalikov and C. Tretter, “Spectral analysis for linear pencils $ N -\lambda P$ of ordinary differential operators”, Math. Nachr., 179 (1996), 275–305 (to appear)  crossref  mathscinet  zmath  isi (cited: 30)  scopus (cited: 34)
90. R. Mennicken and A. A. Shkalikov, “Spectral decomposition of symmetric operator matrices”, Math. Nachr., 179 (1996), 259–273  crossref  mathscinet  zmath  isi (cited: 50)  scopus (cited: 41)

91. A. A. Shkalikov, “On the essential spectrum of matrix operators”, Math. Notes, 58:6 (1995), 1359–1362  mathnet  crossref  mathscinet  zmath  isi (cited: 39)
92. R. Mennicken, H. Schmid and A. A. Shkalikov, “Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 345–357
93. A. A. Shkalikov, “Boundary valkue problems with the spectral parameter in the boundary conditions”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 547–558  mathscinet

94. A. A. Shkalikov, R. O. Hryniv, “On an operator pencil arising in the problem of beam oscillation with internal damping”, Math. Notes, 56:2 (1994), 840–851  mathnet  crossref  mathscinet  zmath  isi (cited: 9)
95. P. Lancaster and A. Shkalikov, “Damped vibrations of beams and related spectral problems”, Canad. Appl. Math. Quart., 2:1 (1994), 45–90  mathscinet  zmath
96. F. V. Atkinson, H. Langer, R. Mennicken, and A. A. Shkalikov, “The essential spectrum of some matrix operators”, Math. Nachr., 167 (1994), 5–20  crossref  mathscinet  zmath  isi (cited: 124)  scopus (cited: 126)
97. A. A. Shkalikov and C. Tretter,, “Kamke problems. Properties of the eigenfunctions”, Math. Nachr., 170 (1994), 251–275  crossref  mathscinet  isi (cited: 18)  scopus (cited: 20)
98. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya”, UMN, 49:4 (1994), 165–166  mathscinet

99. A. A. Shkalikov, “On the property of being a basis, for the eigenfunctions of a problem on antiplanar oscillations of a cylinder with external friction”, Math. Notes, 53:2 (1993), 223–234  mathnet  crossref  mathscinet  zmath  isi (cited: 2)
100. P. Lancaster, A. Shkalikov and Q. Ye, “Strongly definitizable linear pencils in Hilbert space”, Integral Equations Operator Theory, 17:3 (1993), 338–360  crossref  mathscinet  zmath  isi (cited: 26)  scopus (cited: 26)
101. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya: izvestnoe i neizvestnoe”, UMN, 48:4(292) (1993), 210

102. A. A. Shkalikov, “The problem on the steady-state oscillations of a transversally isotropic semicylinder with a free boundary”, Funct. Anal. Appl., 25:2 (1991), 155–158  mathnet  crossref  mathscinet  zmath  isi (cited: 1)

103. A. A. Shkalikov, A. V. Shkred, “The problem of steady-state oscillations of a transversally isotropic half-cylinder”, Math. USSR-Sb., 73:2 (1992), 579–602  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)

104. A. A. Shkalikov, V. T. Pliev, “Compact perturbations of strongly damped operator pencils”, Math. Notes, 45:2 (1989), 167–174  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
105. A. A. Shkalikov, “Ellipticheskie uravneniya v gilbertovom prostranstve i spektralnye zadachi, svyazannnye s nimi”, Trudy sem. im. I.G.Petrovskogo, 14 (1989), 140–224  zmath
106. A. A. Shkalikov, “Obosnovanie gipotezy Mandelshtama dlya volnoveduschikh sistem”, Byulleten Sib. matematichenskogo obschestva, 1989, 18-81
107. A. A. Shkalikov, “O faktorizatsii elliptiicheskikh puchkov i vychislenii koeffitsientov razlozheniya po sobstvennym elementam faktorov”, UMN, 44:4 (1989), 189-190
108. A. A. Shkalikov, “Strongly damped pencils of operators and solvability of the corresponding operator-differential equations”, Math. USSR-Sb., 63:1 (1989), 97–119  mathnet  crossref  mathscinet  zmath

109. A. A. Shkalikov, “O printsipakh otbora i svoistvakh chasti sobstvennykh i prisoedinennykh elementov puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1988, no. 4, 16–25  mathnet (cited: 4)  mathscinet  mathscinet  zmath

110. A. A. Shkalikov, “O printsipakh otbora i svoistvakh sobstvennykh i prisoedinennykh elementov puchkov operatorov”, UMN, 42:4 (1987), 127–128  mathnet (cited: 13)
111. A. A. Shkalikov, “O postanovke i razreshimosti zadach dlya uravneniya volnovoda v polutsilindre”, UMN, 42:5 (1987)

112. A. A. Shkalikov, “O minimalnosti i polnote sobstvennykhelementov puchkov operatorov vysokogo poryadka”, KhI Vsesoyuznaya shkola po teorii operatorov v funktsionalnykh prostranstvakh, Chelyabinsk, 1986, 78-79
113. A. A. Shkalikov, “Puchki operatorov s dissipativnymi koeffitsientami i sootvetstvuyuschipe im uravneniya v gilbertovom prostranstve”, Vsesoyuznaya konferentsiya “Differentsialnye operatory i ikh prilozheniya” (Fshkhadad), 1986, 121–122

114. A. A. Shkalikov, “O polnote i minimalnosti sobstvennykh funktsii zadachi Redzhe”, Teoriya veroyatnostei , teoriya sluchainykh protsessov i funktsionalnyi analiz, Izd-vo MGU, 1985, 167–172  mathscinet
115. A. A. Shkalikov, “On properties of some of the eigenelements and associated elements of selfadjoint quadratic operator pencils”, Doklady Mathematics, 32:1 (1985), 298–304  mathnet  mathscinet  zmath
116. A. A. Shkalikov, “O minimalnosti proizvodnykh tsepochek, otvechayuschikh chasti sobstvennykh i prisoedinennykh elementov samosopryazhennnykh puchkov operatorov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1985, no. 6, 10–19  mathnet (cited: 1)  mathscinet  mathscinet  zmath  zmath
117. A. A. Shkalikov, “On minimality and completeness of systems constructed from some of the eigen- and associated elements of quadratic operator pencils”, Doklady Mathematics, 32:3 (1985), 902–907  mathnet  mathscinet  mathscinet  zmath
118. A. A. Shkalikov, “Theorems of Tauberian type on the distribution of zeros of holomorphic functions”, Math. USSR-Sb., 51:2 (1985), 315–344  mathnet  crossref  mathscinet  zmath  isi (cited: 5)

119. A. A. Shkalikov, “Zero distribution for pairs of holomorphic functions with applications to eigenvalue distribution”, Transactions of the American Mathematical Society, 281:1 (1984), 49–63  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
120. A. A. Shkalikov, “Operator differential equations on a semiaxes and related spectral problems for selfadjoint pencils of operators”, Doklady Mathematics, 29:3 (1984), 511–516…/eng_SovietMatDokl_Vol293_1984.pdf  mathnet  mathscinet  zmath
121. A. A. Shkalikov, “O bazisnosti sobstvennykh vektorov obyknovennykh differentsialnykh operatorov v prostranstve vektor-funktsii”, Funktsionalnyi analiz i ego prilozheniya v mekhanike i teorii veroyatnostei., Izd-vo MGU, 1984, 78–80
122. A. G. Kostyuchenko, A. A. Shkalikov, “K spektralnoi teorii kvadratichnykh puchkov operatorov”, UMN, 39:4 (1984), 106–107  mathnet (cited: 25)
123. A. A. Shkalikov, “Operatorno-differentsialnye uravneniya na poluosi i svyazannye s nimi spektralnye zadachi dlya polinomialnykh puchkov operatorov”, UMN, 39:4 (1984), 106  mathscinet

124. A. G. Kostyuchenko, A. A. Shkalikov, “Self-adjoint quadratic operator pencils and elliptic problems”, Funct. Anal. Appl., 17:2 (1983), 109–128  mathnet  crossref  mathscinet  zmath  isi (cited: 59)
125. A. A. Shkalikov, “Some problems in the theory of polynomial operator pencils”, Russian Math. Surveys, 38:3 (1983), 151–152  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)
126. A. A. Shkalikov, “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9 (1983), 140–179  mathscinet
127. A. A. Shkalikov, “K spektralnoi teorii obyknovennykh differentsialnykh operatorov”, UMN, 38:5 (1983), 234–238
128. A. A. Shkalikov, “On estimates of meromorphic functions and summation of series in the root vectors of nonselfadjoint operators”, Doklady Mathematics, 27:1 (1983), 259–263  mathnet  mathscinet  mathscinet  zmath
129. A. A. Shkalikov, “K teorii summirovaniya ryadov po kornevym vektoram nesamosopryazhennykh operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1983, 67–69
130. A. G. Kostyuchenko, A. A. Shkalikov, “K teorii samosopryazhennykh operatornykh puchkov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1983, no. 6, 40–51  mathnet (cited: 1)  mathscinet  mathscinet  zmath

131. A. A. Shkalikov, “Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions”, Funct. Anal. Appl., 16:4 (1982), 324–236  mathnet  crossref  mathscinet  zmath  isi (cited: 27)
132. A. A. Shkalikov, “O bazisnosti sobstvennykh funktsii obyknovennykh differentsialnykh operatorov s integralnymi kraevymi usloviyami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1982, no. 6, 41-51  mathnet (cited: 1)
133. A. A. Shkalikov, “Razlozhenie po sobstvennym funktsiyam v ploskoi zadache teorii uprugosti”, Korrektnye zadachi uravnenii neklassicheskoi fiziki, Novosibirsk, 1982
134. A. A. Shkalikov, “Theorems of tauberian type of the distribution of the zeros of holomorphic functions”, Doklady Mathematics, 26:3 (1982), 785-788  mathnet  mathscinet  mathscinet  mathscinet  zmath
135. A. A. Shkalikov, “Estimates of meromorphic functions and summability theorems”, Pacific Jour. of Math., 103:2 (1982), 569–582  crossref  mathscinet  zmath  scopus (cited: 4)
136. A. A. Shkalikov, “Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6, 12–21  mathnet  mathscinet  zmath

137. A. A. Shkalikov, “Property of the eigenvectors of quadratic operator pencils of being a basis”, Math. Notes, 30:3 (1981), 676–684  mathnet  crossref  mathscinet  zmath  isi (cited: 8)
138. A. A. Shkalikov, “O bazisnosti sobstvennykh funktsii kvadratichnykh puchkov operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1981, 62-65
139. A. A. Shkalikov, “Teoremy tauberova tipa o raspredelenii nulei golomorfnykh funktsii”, UMN, 36:4 (1981)

140. A. A. Shkalikov, “On the basis problem of the eigenfunctions of an ordinary differential operator”, Russian Math. Surveys, 34:5 (1979), 249–250  mathnet  crossref  mathscinet  zmath
141. A. A. Shkalikov, “Otsenki meromorfnykh funktsii i teoremy summiruemosti”, UMN, 34:4 (1979), 138-139

142. A. G. Kostyuchenko, A. A. Shkalikov, “Summability of eigenfunction expansions of differential operators and convolution operators”, Funct. Anal. Appl., 12:4 (1978), 262–276  mathnet  crossref  mathscinet  zmath

143. A. A. Shkalikov, “The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions”, Funct. Anal. Appl., 10:4 (1976), 305–316  mathnet  crossref  mathscinet  zmath
144. M. B. Orazov, A. A. Shkalikov, “The property of being an $n$-multiple basis of eigenfunctions of certain regular boundary value problems”, Siberian Math. J., 17:3 (1976), 483–492  mathnet  crossref  mathscinet  mathscinet  zmath  isi

145. A. A. Shkalikov, “A system of functions”, Math. Notes, 18:6 (1975), 1097–1100  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Дифференциальные операторы с сингулярными коэффициентами
A. A. Shkalikov
Differential equations, analysis and control: theory and applications
March 2, 2020 18:30
2. Инвариантные подпространства, факторизация и смежные темы в теории операторов
A. A. Shkalikov
Seminar on Theory of Functions of Real Variables
February 21, 2020 18:30
3. Differential operators with distribution coefficients
A. A. Shkalikov
Steklov Mathematical Institute Seminar
October 31, 2019 16:00   
4. Аналитические методы в теории возмущений самосопряженных или нормальных операторов
A. A. Shkalikov
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 17, 2019 11:05   
5. Analytical methods in problems of completeness of eigenfunctions of differential operators
A. A. Shkalikov
Seminar on Complex Analysis (Gonchar Seminar)
March 25, 2019 17:00
6. The limiting spectral graph in the quasiclassical approximation for a non-selfadjoint Sturm-Liouville problem
A. A. Shkalikov
Complex analysis and mathematical physics
April 10, 2018 16:00
7. Спектральные портреты и динамика собственных значений операторов Штурма-Лиувилля с малым или большим физическим параметром
A. A. Shkalikov
Seminar on Theory of Functions of Real Variables
March 23, 2018 18:30
8. РТ-симметрические операторы Штурма-Лиувилля с физическим параметром
A. A. Shkalikov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 22, 2018 11:00
9. Локализация и динамика собственных значений для несамосопряженных операторов Штурма-Лиувилля с малым параметром
A. A. Shkalikov
Differential equations, analysis and control: theory and applications
March 12, 2018 18:25
10. Spectral portraits for non-self-adjoint Sturm-Liouville operators with a physical parameter
A. A. Shkalikov
Complex analysis and mathematical physics
October 31, 2017 16:00
11. Analytic problems arising in the study of $PT$-Symmetric Sturm–Liouville Operators
A. A. Shkalikov
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2017 15:50
12. Дифференциальные операторы с сингулярными коэффициентами
A. A. Shkalikov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
November 9, 2016 16:00   
13. Perturbations of positive operators with discrete spectrum. Analytical aspects
A. A. Shkalikov
Seminar on Complex Analysis (Gonchar Seminar)
October 17, 2016 17:00
14. Аналитические проблемы подобия PT-симметричных гамильтонианов самосопряженным
A. A. Shkalikov
International conference «Selected topics of function theory» dedicated to the 70th anniversary of Eugenie M. Nikishin
September 11, 2015 15:10   
15. The limit spectral graph and eingenvalue asymptotic distribution of the Sturm-Liouville problem with polynomical potential
A. A. Shkalikov, S. N. Tumanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 11:40   
16. Система Дирака с негладким потенциалом
A. M. Savchuk, A. A. Shkalikov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 16:40
17. Обратная задача Штурма–Лиувилля за 60 лет
A. A. Shkalikov
I. M. Gelfand and Modern Mathematics
December 19, 2013 12:30   
18. Non-selfadjoint perturbations of selfadjoint operators. Spectral asymptotics and properties of the eigenfunctions
A. A. Shkalikov
Seminar on Complex Analysis (Gonchar Seminar)
November 14, 2011 18:00
19. Direct and inverse spectral problems for the Sturm–Liouville operator in scales of Sobolev spaces
A. A. Shkalikov
Sixth International Conference on Differential and Functional Differential Equations DFDE-2011
August 17, 2011 12:00   
20. О возмущении самосопряженных операторов с дискретным спектром и свойства собственных функций
A. A. Shkalikov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
April 27, 2011 16:00
21. Спектральные портреты оператора Ора–Зоммерфельда
A. A. Shkalikov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 2, 2005

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