Shkalikov Andrei Andreevich

Total publications: 130 (120)
in MathSciNet: 99 (93)
in zbMATH: 88 (82)
in Web of Science: 64 (58)
in Scopus: 29 (27)
Cited articles: 85
Citations in Math-Net.Ru: 693
Citations in MathSciNet (by Sep 2017): 886
Citations in Web of Science: 698
Citations in Scopus: 135
Presentations: 12

Number of views:
This page:9607
Abstract pages:23916
Full texts:6244
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:
| by years | by types | by times cited | scientific publications | common list |

1. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Fridlender, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Uspekhi Mat. Nauk, 73:1(439) (2018), 173–178  mathnet  crossref

2. 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  elib  scopus
3. 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: 1)  elib  scopus (cited: 1)
4. 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
5. 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  elib  elib  scopus

6. 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  scopus
7. 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: 2)  elib  scopus (cited: 1)
8. 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  isi (cited: 5)  elib  scopus (cited: 5)
9. 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
10. 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  isi  elib

11. 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: 2)  elib  scopus (cited: 3)
12. S.N. Tumanov, A. A. Shkalikov, “Predelnyi spektralnyi graf v kvaziklassicheskom priblizhenii dlya zadachi Shturma-Liuvillya s kompleksnym polinomialnym potentsialom”, DAN, 465:6 (2015), 660–664  zmath  elib
13. 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

14. 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
15. Math. Notes, 96:5 (2014), 777–810  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 4)
16. 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 (cited: 1)  zmath
17. 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

18. 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: 4)  elib  elib  scopus
19. 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: 3)  elib  elib  scopus (cited: 2)
20. 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: 7)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 2)
21. 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: 2)
22. 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

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

24. 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: 16)  scopus (cited: 10)
25. 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: 16)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 13)
26. 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

27. 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: 4)  elib (cited: 3)  scopus (cited: 4)
28. 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: 16)  elib (cited: 15)  scopus (cited: 18)
29. 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 (cited: 9)  zmath  isi (cited: 14)
30. 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  mathscinet (cited: 4)  zmath
31. A. A. Shkalikov, “Teoriya vozmuscheniya dlya tochek diskretnogo spektra dissipativnykh operator-funktsii”, Differentsialnye uravneniya, 45:4 (2009), 564–574  mathscinet (cited: 1)  zmath
32. 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
33. 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

34. 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: 13)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 8)

35. 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: 6)  elib  scopus (cited: 8)
36. 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: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
37. A. A. Shkalikov, “Spectral analysis of the Redge problem.”, Journal of Mathematical Sciences, 144:4 (2007), 4292–4300  crossref  mathscinet (cited: 3)  zmath

38. 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: 24)  elib  scopus (cited: 16)
39. 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 (cited: 5)  zmath  isi (cited: 8)
40. 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

41. 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
42. 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 (cited: 14)  zmath  isi (cited: 17)

43. 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: 7)  scopus (cited: 5)
44. 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  mathscinet (cited: 2)  zmath
45. 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

46. 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: 6)  scopus (cited: 7)
47. A. A. Shkalikov, “Differential equations in a Hilbert space with dissipative symbols”, Jour. Math. Sci., 114:4 (2003), 1571–1588  crossref  mathscinet (cited: 1)
48. 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 (cited: 7)  zmath  isi (cited: 9)
49. A. M. Savchuk, A. A. Shkalikov, “Sturm-Liouville operators with distribution potentials”, Translations of Moscow Mathematical Society, 64 (2003), 143–192  mathscinet  zmath
50. 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

51. 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: 9)  scopus (cited: 9)
52. 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
53. 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: 5)
54. 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: 4)  scopus (cited: 4)
55. 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: 11)  scopus (cited: 7)
56. 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

57. 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: 21)  elib (cited: 3)
58. 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 (cited: 1)
59. 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
60. A. A. Shkalikov, “Spectral analysis of the Regge problem”, Russ. J. Math. Phys., 8:3 (2001), 356–364  mathscinet (cited: 2)  zmath  isi (cited: 6)

61. 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: 2)
62. 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 (cited: 1)  zmath  isi

63. 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
64. 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: 95)  elib (cited: 55)
65. 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: 16)
66. 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: 13)
67. 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  mathscinet (cited: 9)  zmath

68. 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: 4)
69. 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
70. 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 (cited: 21)  zmath  isi (cited: 29)
71. 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
72. A. A. Shkalikov, “Kak opredelit operator Orra-Zommerfelda?”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 53:4 (1998), 36–43  mathscinet (cited: 4)  zmath

73. 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: 11)

74. 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 (cited: 19)  zmath
75. 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 (cited: 18)  zmath  isi (cited: 28)
76. R. Mennicken and A. A. Shkalikov, “Spectral decomposition of symmetric operator matrices”, Math. Nachr., 179 (1996), 259–273  crossref  mathscinet (cited: 31)  zmath  isi (cited: 47)

77. A. A. Shkalikov, “On the essential spectrum of matrix operators”, Math. Notes, 58:6 (1995), 1359–1362  mathnet  crossref  mathscinet  zmath  isi (cited: 20)
78. 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
79. A. A. Shkalikov, “Boundary valkue problems with the spectral parameter in the boundary conditions”, Proceedings Int. Congress MTNS (Hamburg, 1993), Regensburg, 1995, 547–558

80. 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
81. P. Lancaster and A. Shkalikov, “Damped vibrations of beams and related spectral problems”, Canad. Appl. Math. Quart., 2:1 (1994), 45–90  mathscinet (cited: 12)  zmath
82. 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 (cited: 75)  zmath  isi (cited: 104)
83. A. A. Shkalikov and C. Tretter,, “Kamke problems. Properties of the eigenfunctions”, Math. Nachr., 170 (1994), 251–275  crossref  mathscinet (cited: 9)  isi (cited: 17)
84. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya”, UMN, 49:4 (1994), 165–166

85. 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
86. 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 (cited: 15)  zmath  isi (cited: 21)
87. A. A. Shkalikov, “Indefinitnaya problema Shturma-Liuvilllya. Izvestnoe i neizvestnoe”, UMN, 48:4 (1993)

88. 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)

89. 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: 3)

90. 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
91. 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
92. A. A. Shkalikov, “Obosnovanie gipotezy Mandelshtama dlya volnoveduschikh sistem”, Byulleten Sib. matematichenskogo obschestva, 1989, 18-81
93. A. A. Shkalikov, “O faktorizatsii elliptiicheskikh puchkov i vychislenii koeffitsientov razlozheniya po sobstvennym elementam faktorov”, UMN, 44:4 (1989), 189-190
94. 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

95. 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  mathscinet (cited: 4)

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

98. 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
99. 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

100. 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
101. 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
102. 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  mathscinet  zmath
103. 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  zmath
104. 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: 1)

105. 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 (cited: 1)  zmath  isi (cited: 1)
106. 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  mathnet  mathscinet (cited: 7)  mathscinet (cited: 7)  zmath
107. 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
108. A. G. Kostyuchenko, A. A. Shkalikov, “K spektralnoi teorii kvadratichnykh puchkov operatorov”, UMN, 39:4 (1984), 106–107  mathnet (cited: 25)
109. A. A. Shkalikov, “Operatorno-differentsialnye uravneniya na poluosi i svyazannye s nimi spektralnye zadachi dlya polinomialnykh puchkov operatorov”, UMN, 39:4 (1984), 106

110. 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: 25)
111. 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: 6)
112. A. A. Shkalikov, “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9 (1983), 140–179
113. A. A. Shkalikov, “K spektralnoi teorii obyknovennykh differentsialnykh operatorov”, UMN, 38:5 (1983), 234–238
114. 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  mathscinet  zmath
115. A. A. Shkalikov, “K teorii summirovaniya ryadov po kornevym vektoram nesamosopryazhennykh operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1983, 67–69
116. A. G. Kostyuchenko, A. A. Shkalikov, “K teorii samosopryazhennykh operatornykh puchkov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 1983, no. 6, 40–51  mathscinet (cited: 6)  zmath

117. 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: 7)
118. 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
119. A. A. Shkalikov, “Razlozhenie po sobstvennym funktsiyam v ploskoi zadache teorii uprugosti”, Korrektnye zadachi uravnenii neklassicheskoi fiziki, Novosibirsk, 1982
120. A. A. Shkalikov, “Theorems of tauberian type of the distribution of the zeros of holomorphic functions”, Doklady Mathematics, 26:3 (1982), 785-788  mathscinet  zmath
121. A. A. Shkalikov, “Estimates of meromorphic functions and summability theorems”, Pacific Jour. of Math., 103:2 (1982), 569–582  crossref  mathscinet  zmath

122. 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: 2)
123. A. A. Shkalikov, “Teoremy tauberova tipa o raspredelenii nulei golomorfnykh funktsii”, UMN, 36:4 (1981)
124. A. A. Shkalikov, “O bazisnosti sobstvennykh funktsii kvadratichnykh puchkov operatorov”, Nekotorye voprosy matematiki i mekhaniki, Izd-vo MGU, 1981, 62-65

125. 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
126. A. A. Shkalikov, “Otsenki meromorfnykh funktsii i teoremy summiruemosti”, UMN, 34:4 (1979), 138-139  mathscinet (cited: 31)

127. 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

128. 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
129. M. B. Orazov, A. A. Shkalikov, “Ob $n$-kratnoi bazisnosti sobstvennykh funktsii nekotorykh regulyarnykh zadach”, Sib. matem. zhurnal, 17:3 (1976), 627–639  mathscinet (cited: 1)  zmath

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

Presentations in Math-Net.Ru
1. 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
2. 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
3. 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   
4. Perturbations of positive operators with discrete spectrum. Analytical aspects
A. A. Shkalikov
Seminar on Complex Analysis (Gonchar Seminar)
October 17, 2016 17:00
5. 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   
6. 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   
7. 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
8. Обратная задача Штурма–Лиувилля за 60 лет
A. A. Shkalikov
I. M. Gelfand and Modern Mathematics
December 19, 2013 12:30   
9. 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
10. 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   
11. 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
12. 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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