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Vlasov, Viktor Valentinovich
(1956–2023)

Statistics
in MathSciNet: 65 (63)
in zbMATH: 55 (55)
in Web of Science: 19 (19)
in Scopus: 23 (23)
Professor
Doctor of physico-mathematical sciences (1997)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 18.11.1956
Website: https://cs.msu.ru/persons/1054

https://www.mathnet.ru/eng/person8341
https://ru.wikipedia.org/wiki/Vlasov,_Viktor_Valentinovich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/188920
https://elibrary.ru/author_items.asp?authorid=3554
ISTINA https://istina.msu.ru/workers/2449590
https://www.webofscience.com/wos/author/record/J-2357-2018
https://www.scopus.com/authid/detail.url?authorId=7202194294
https://www.researchgate.net/profile/V-Vlasov

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. V. V. Vlasov, “Solubility and properties of solutions of functional-differential equations in Hilbert space”, Sb. Math., 186:8 (1995), 1147–1172  mathnet  crossref  mathscinet  zmath  isi
2. V. V. Vlasov, N. A. Rautian, A. S. Shamaev, “Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics”, Journal of Mathematical Sciences, 190:1 (2013), 34–65  mathnet  crossref  mathscinet  scopus
3. V. V. Vlasov, N. A. Rautian, “Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations”, J. Math. Sci. (N. Y.), 179:3 (2011), 390–414  mathnet  crossref  zmath  elib  scopus
4. V. V. Vlasov, “Correct solvability of a class of differential equations with deviating argument in a Hilbert space”, Russian Math. (Iz. VUZ), 40:1 (1996), 19–32  mathnet  mathscinet  zmath
5. V. V. Vlasov, N. A. Rautian, “Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory”, Journal of Mathematical Sciences, 233:4 (2018), 555–577  mathnet  crossref
6. V. V. Vlasov, “On the Solvability and Estimates of Solutions to Functional Differential Equations in Sobolev Spaces”, Proc. Steklov Inst. Math., 227 (1999), 104–115  mathnet  mathscinet  zmath
7. V. V. Vlasov, N. A. Rautian, A. S. Shamaev, “Analysis of operator models arising in problems of hereditary mechanics”, Journal of Mathematical Sciences, 201:5 (2014), 673–692  mathnet  crossref  mathscinet  scopus
8. V. V. Vlasov, J. Wu, G. R. Kabirova, “Well-defined solvability and spectral properties of abstract hyperbolic equations with aftereffect”, Journal of Mathematical Sciences, 170:3 (2010), 388–404  mathnet  crossref  mathscinet  scopus
9. V. V. Vlasov, “Estimates for solutions of differential-difference equations of neutral type”, Russian Math. (Iz. VUZ), 44:4 (2000), 12–20  mathnet  mathscinet  zmath  elib
10. V. V. Vlasov, R. Perez Ortiz, “Spectral Analysis of Integro-Differential Equations in Viscoelasticity and Thermal Physics”, Math. Notes, 98:4 (2015), 689–693  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
11. V. V. Vlasov, N. A. Rautian, “Properties of solutions of integro-differential equations arising in heat and mass transfer theory”, Trans. Moscow Math. Soc., 75 (2014), 185–204  mathnet  crossref  elib  elib  scopus
12. V. V. Vlasov, N. A. Rautian, “A Study of Operator Models Arising in Problems of Hereditary Mechanics”, J. Math. Sci. (N. Y.), 244:2 (2020), 170–182  mathnet  crossref  mathscinet  zmath  elib  scopus
13. V. V. Vlasov, N. A. Rautian, “Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels”, Trans. Moscow Math. Soc., 80 (2019), 169–188  mathnet  crossref  mathscinet  zmath  elib  scopus
14. V. V. Vlasov, K. I. Shmatov, “Correct Solvability of Hyperbolic-Type Equations with Delay in a Hilbert Space”, Proc. Steklov Inst. Math., 243 (2003), 120–130  mathnet  mathscinet  zmath
15. V. V. Vlasov, “On a class of differential-difference equations of neutral type”, Russian Math. (Iz. VUZ), 43:2 (1999), 17–26  mathnet  mathscinet  zmath  adsnasa  elib
16. V. V. Vlasov, “Some properties of the system of elementary solutions of differential-difference equations”, Russian Math. Surveys, 51:1 (1997), 175–176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
17. V. V. Vlasov, S. A. Ivanov, “Sobolev space estimates for solutions of equations with retardation, and a basis built from divided differences”, St. Petersburg Math. J., 15:4 (2004), 545–561  mathnet  crossref  mathscinet  zmath
18. V. V. Vlasov, S. A. Ivanov, “Estimates for solutions of nonhomogeneous differential-difference equations of neutral type”, Russian Math. (Iz. VUZ), 50:3 (2006), 22–28  mathnet  mathscinet  zmath
19. V. V. Vlasov, S. A. Ivanov, “Estimates of Solutions to Equations with Aftereffect in Sobolev Spaces and the Basis of Divided Differences”, Math. Notes, 72:2 (2002), 271–274  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
20. V. V. Vlasov, V. Zh. Sakbaev, “The Correct Solvability of Some Differential-Difference Equations in the Scale of Sobolev Spaces”, Differ. Equ., 37:9 (2001), 1252–1260  mathnet  crossref  mathscinet
21. V. V. Vlasov, “On some spectral problems arising in the theory of differential-difference equations”, Russian Math. Surveys, 53:4 (1998), 872–874  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
22. V. V. Vlasov, “On a class of delay functional-differential equations in Hilbert space”, Math. Notes, 62:5 (1997), 655–659  mathnet  crossref  crossref  mathscinet  zmath  isi
23. V. V. Vlasov, “A class of differential-difference equations in a Hilbert space, and some spectral problems”, Dokl. Math., 46:3 (1993), 458–462  mathnet  mathscinet  zmath
24. V. V. Vlasov, N. A. Rautian, “Investigation of operator models arising in viscoelasticity theory”, CMFD, 64, no. 1, 2018, 60–73  mathnet  crossref  zmath
25. V. V. Vlasov, N. A. Rautian, “Integrodifferential equations in viscoelasticity theory”, Russian Math. (Iz. VUZ), 56:6 (2012), 48–51  mathnet  crossref  mathscinet  scopus
26. V. V. Vlasov, S. A. Ivanov, “The basis property and bounds for the solutions of equations with after-effect in a scale of Sobolev spaces”, Russian Math. Surveys, 56:3 (2001), 595–596  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
27. V. V. Vlasov, V. Zh. Sakbaev, “Well-Defined Solvability of Some Differential-Difference Equations in Sobolev Spaces”, Math. Notes, 68:6 (2000), 794–797  mathnet  crossref  crossref  mathscinet  zmath  isi
28. V. V. Vlasov, “Kratnaya minimalnost chasti sistemy kornevykh vektorov puchka M. V. Keldysha”, DAN SSSR, 263:6 (1982), 1289–1293  mathnet  mathscinet  mathscinet  zmath 6
29. V. V. Vlasov, N. A. Rautian, “Spektralnyi analiz lineinykh modelei vyazkouprugosti”, Trudy Mezhdunarodnogo simpoziuma «Differentsialnye uravneniya—2016», Perm, 17–18 maya 2016, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 132, VINITI RAN, M., 2017, 24–28  mathnet  mathscinet  zmath; V. V. Vlasov, N. A. Rautian, “Ypectral analysis of linear models of viscoelasticity”, J. Math. Sci. (N. Y.), 230:5 (2018), 668–672  crossref  mathscinet  zmath  scopus 5
30. V. V. Vlasov, N. A. Rautian, “Spectral Analysis of Hyperbolic Volterra IntegroDifferential Equations”, Doklady Mathematics, 92:2 (2015), 1–4  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
31. V. V. Vlasov, D. A. Medvedev, “On asymptotic properties of solutions of functional differential equations of neutral type”, Journal of Mathematical Sciences, 149:4 (2008), 1469–1482  mathnet  crossref  mathscinet
32. V. V. Vlasov, “On the solvability of a class of differential equations with deviating argument in a Hilbert space”, Russian Math. (Iz. VUZ), 38:8 (1994), 26–36  mathnet  mathscinet  zmath
33. V. V. Vlasov, N. A. Rautian, “Well-posedness and spectral analysis of integrodifferential equations of hereditary mechanics”, Comput. Math. Math. Phys., 60:8 (2020), 1322–1330  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
34. V. V. Vlasov, D. A. Medvedev, “On estimates for solutions of differential equations with retarded argument”, Russian Math. (Iz. VUZ), 48:6 (2004), 19–27  mathnet  mathscinet  zmath  elib
35. V. V. Vlasov, “On the properties of a system of exponential solutions of differential-difference equations in Sobolev spaces”, Russian Math. (Iz. VUZ), 45:6 (2001), 21–27  mathnet  mathscinet  zmath  elib
36. V. V. Vlasov, “Some properties of solutions of linear differential equations with aftereffect in a Hilbert space”, Russian Math. (Iz. VUZ), 37:5 (1993), 19–29  mathnet  mathscinet  zmath
37. V. V. Vlasov, “On the solvability of a class of functional-differential equations on the semi-axis and some spectral problems”, Dokl. Math., 44:1 (1992), 14–19  mathnet  mathscinet  zmath
38. V. V. Vlasov, N. A. Rautian, “Spectral analysis of integrodifferential equations in a Hilbert space”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 62, PFUR, M., 2016, 53–71  mathnet
39. V. V. Vlasov, N. A. Rautian, “Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space”, Operator Theory: Advances and Applications, 236 (2014), 517–535 http://www.springer.com/us/book/9783034806473  crossref  mathscinet  zmath  scopus 3
40. V. V. Vlasov, N. A. Rautian, “On the Asymptotic Behavior of Solutions of Integro-Differential Equations in a Hilbert Space”, Differential Equations, 49:6 (2013), 746–758  crossref  mathscinet  zmath  isi  scopus
41. V. V. Vlasov, S. A. Ivanov, “Sharp estimates for solutions of systems with aftereffect”, St. Petersburg Math. J., 20:2 (2009), 193–211  mathnet  crossref  mathscinet  zmath  isi  elib  elib
42. V. V. Vlasov, “On the basis property of a family of exponential solutions of differential-difference equations”, Russian Math. (Iz. VUZ), 46:6 (2002), 5–11  mathnet  mathscinet  zmath  elib
43. V. V. Vlasov, “Correct solvability of a class of functional-differential equations in a Hilbert space”, Dokl. Akad. Nauk, 345:6 (1995), 733–736  mathnet  mathscinet  zmath
44. V. V. Vlasov, “On certain properties of solutions of functional-differential equations in a Hilbert space”, Russian Math. Surveys, 49:3 (1994), 205–206  mathnet  crossref  mathscinet  zmath  adsnasa  isi
45. V. V. Vlasov, “Solvability of boundary value problems for a class of integro-differential equations on the half-axis”, Differ. Equ., 25:9 (1989), 1124–1132  mathnet  mathscinet  zmath
46. V. V. Vlasov, “On the behavior of the solutions of some functional-differential equations in a Hilbert space.”, Russian Math. (Iz. VUZ), 37:1 (1993), 1–9  mathnet  mathscinet  zmath
47. V. V. Vlasov, “On a class of linear differential equations with after-effect in a Hilbert space”, Russian Math. Surveys, 48:6 (1993), 187–188  mathnet  crossref  mathscinet  zmath  adsnasa  isi
48. V. V. Vlasov, V. V. Malygina, Differ. Uravn., 28:5 (1992), 901–903  mathnet  mathscinet  zmath
49. V. V. Vlasov, “The behavior of the solutions of a class of functional-differential equations on the half-line, and some spectral problems.”, Russian Math. (Iz. VUZ), 36:12 (1992), 9–18  mathnet  mathscinet  zmath
50. V. V. Vlasov, “On the behavior of solutions of some differential-difference equations with operator coefficient”, Russian Math. (Iz. VUZ), 36:8 (1992), 75–78  mathnet  mathscinet  zmath
51. V. V. Vlasov, “On the properties of the solutions of a class of differential-difference equations and certain spectral problems”, Russian Math. Surveys, 47:5 (1992), 209–211  mathnet  crossref  mathscinet  zmath  adsnasa  isi
52. V. V. Vlasov, “Multiple minimality of a part of a system of root vectors of some operator functions”, Dokl. Math., 41:1 (1990), 45–49  mathnet  mathscinet  zmath
53. V. V. Vlasov, N. A. Rautian, “Investigation of integrodifferential equations by methods of spectral theory”, Dedicated to the memory of Professor N. D. Kopachevsky, CMFD, 67, no. 2, PFUR, M., 2021, 255–284  mathnet  crossref
54. V. V. Vlasov, V. Zh. Sakbaev, “Correct solvability of differential equations with aftereffect in the scale of Sobolev spaces”, Russian Math. (Iz. VUZ), 47:4 (2003), 6–14  mathnet  mathscinet  zmath  elib
55. V. V. Vlasov, “Boundary value problems for a class of integro-differential equations and related spectral problems”, Dokl. Math., 38:3 (1989), 650–653  mathnet  mathscinet  zmath
56. V. V. Vlasov, “Some properties of the solutions of a class of evolution equations”, Russian Math. Surveys, 40:5 (1985), 243–244  mathnet  crossref  mathscinet  zmath  adsnasa
57. V. V. Vlasov, “The minimality of derived chains”, Russian Math. Surveys, 37:5 (1982), 198–199  mathnet  crossref  mathscinet  zmath  adsnasa  isi
58. V. V. Vlasov, N. A. Rautian, “Representation of solutions of Volterra integro-differential equations with fractional-exponential kernels”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 194, VINITI, Moscow, 2021, 92–106  mathnet  crossref
59. V. V. Vlasov, N. A. Rautian, “Spectral analysis and representations of solutions to abstract integrodifferential equations”, Doklady Mathematics, 89:1 (2014), 34–37  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
60. R. Kh. Akylzhanov, V. V. Vlasov, “Well-Posed Solvability of Functional-Differential Equations with Unbounded Operator Coeffcients”, Differential Equations, 50:9 (2014), 1161–1172  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
61. V. V. Vlasov, “On some classes of integro-differential equations on the half-line and related operator functions”, Trans. Moscow Math. Soc., 2012, 121–138  mathnet  crossref  zmath  elib  elib  scopus
62. V. V. Vlasov, D. A. Medvedev, “Functional-differential equations in Sobolev spaces and related problems of spectral theory”, Journal of Mathematical Sciences, 164:5 (2010), 659–841  mathnet  crossref  mathscinet  elib  scopus
63. V. V. Vlasov, “On the behavior of solutions of systems of functional-differential equations of neutral type”, Russian Math. (Iz. VUZ), 50:5 (2006), 17–23  mathnet  mathscinet  zmath
64. V. V. Vlasov, Differ. Uravn., 28:6 (1992), 1070–1073  mathnet  mathscinet  zmath
65. V. V. Vlasov, “Some boundary value problems on a half-axis for a class of integro-differential equations”, Differ. Equ., 25:10 (1989), 1262–1265  mathnet  mathscinet  zmath
66. V. V. Vlasov, “Description of the canonical coefficients of the restriction of a quadratic form to a subspace of finite codimension”, Math. Notes, 28:4 (1980), 754–758  mathnet  crossref  mathscinet  zmath  isi
67. V. V. Vlasov, A. S. Labovskaya, Yu. S. Shatalov, Differ. Uravn., 14:2 (1978), 268–273  mathnet  mathscinet  zmath
68. V. V. Vlasov, N. A. Rautian, Tr. Semim. im. I. G. Petrovskogo, 33, 2023, 54–82  mathnet
69. V. V. Vlasov, N. A. Rautian, “Correct solvability of integrodifferential equations in spaces of vector functions holomorphic in an angular domain”, Dokl. Math., 105:2 (2022), 84–88  mathnet  crossref  crossref  elib
70. V. V. Vlasov, N. A. Rautian, “On spaces of vector functions that are holomorphic in an angular domain”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 68, no. 3, PFUR, M., 2022, 393–406  mathnet  crossref  mathscinet
71. V. V. Vlasov, N. A. Rautian, “Semigroups of operators generated by integro-differential equations with kernels representable by Stieltjes integrals”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 507–525  mathnet  crossref
72. V. V. Vlasov, N. A. Rautian, “Spectral analysis and solvability of Volterra integro-differential equations”, Dokl. Math., 103:1 (2021), 10–13  mathnet  crossref  crossref  zmath  elib  scopus
73. A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 423–426  mathnet  crossref
74. V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, V. V. Vlasov, V. V. Galatenko, V. E. Podolskii, T. V. Rodionov, V. A. Skvortsov, A. P. Solodov, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2, 70–71  mathnet
75. M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, Journal of Mathematical Sciences, 190:1 (2013), 1–7  mathnet  crossref  mathscinet
76. Dokl. Math., 106:1 (2022), 302  mathnet  crossref  mathscinet

Presentations in Math-Net.Ru
1. Spectral analysis of Volterra integro-differential equations and associated operator semigroups
V. V. Vlasov, N. A. Rautian
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 7, 2021 16:55   
2. Спектральный анализ вольтерровых интегро-дифференциальных уравнений
V. V. Vlasov, N. A. Rautian
Differential geometry and applications
October 7, 2019 16:45
3. Спектральный анализ интегро-дифференциальных уравнений, возникающих в теории вязкоупругости
V. V. Vlasov, N. A. Rautian, A. V. Davydov, J. V. Tikhonov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
November 2, 2018 18:30
4. Спектральный анализ интегродифференциальных уравнений в гильбертовом пространстве и его приложения
V. V. Vlasov, N. A. Rautian
Infinite dimensional analysis and mathematical physics
December 11, 2017 18:30
5. Спектральный анализ интегро-дифференциальных уравнений, возникающих в задачах наследственной механики и теплофизики
V. V. Vlasov, R. Perez Ortiz, A. V. Davydov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
June 30, 2017 18:30
6. Спектральный анализ функционально-дифференциальных уравнений с неограниченными операторными коэффициентами и его приложения
V. V. Vlasov
Geometric Theory of Optimal Control
May 3, 2017 18:30
7. Исследование вольтерровых интегро-дифференциальных уравнений в гильбертовом пространстве
V. V. Vlasov, A. V. Davydov, Yu. A. Tikhonov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 29, 2016 18:30
8. Корректная разрешимость и спектральный анализ интегродифференциальных уравнений, возникающих в теории вязкоупругости
V. V. Vlasov, N. A. Rautian, R. Perez Ortiz
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
June 5, 2015 18:30
9. Спектральный анализ и корректная разрешимость гиперболических вольтерровых интегро-дифференциальных уравнений
V. V. Vlasov, N. A. Rautian
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 14:30

Organisations