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Skubachevskii Alexander Leonidovich

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Total publications: 50
Scientific articles: 47
Presentations: 19

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Professor of Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1987)
Birth date: 25.03.1953
E-mail:
Keywords: Functional Differential Equations; Boundary Value Problems for Elliptic Functional Differential Equations; Nonlocal Problems; Feller Semigroups; Parabolic Functional Differential Equations.

Subject:

1) Functional Differential Equations a. Uniqueness of unbounded oscillating solution for linear delay differential equation of the second order. Previously this problem was formulated as unsolved. b. Periodic solutions of nonlinear functional differential equations. c. Solvability and smoothness of generalized solutions of boundary value problems for functional differential equations.

2) Boundary Value Problems for Elliptic Functional Differential Equations a. Necessary and sufficient conditions for the Garding inequality. b. Solvability and spectral properties of boundary value problems for elliptic functional differential equations. c. Smoothness of generalized solutions.

3) Nonlocal Problems a. Solvability, spectral properties, and smoothness of generalized solutions of nonlocal elliptic boundary value problems. Previously this problem was formulated as unsolved. b. Connection between boundary value problems for elliptic differentialdifference equations and nonlocal elliptic boundary value problems. c. Spectral properties of ordinary differential operators with nonlocal integral conditions.

4) Feller Semigroups a. Existence of Feller semigroups and counterexamples of nonexistence of Feller semigroups in nontransversal case. Previously this problem was formulated as unsolved. b. Existence of Feller semigroups in transversal case.

5) Parabolic Functional Differential Equations a. Solvability and smoothness of generalized solutions of boundary value problems for linear parabolic differentialdifference equations. b. Bifurcation of periodic solutions for quasilinear parabolic functional differential equation.

Biography

(a) November 1987, the Steklov Institute of Mathematics, Moscow, Doctor of Sciences in Mathematics, dissertation "Nonlocal Elliptic Boundary Value Problems";

(b) February 1980, MAI, Ph.D. in Mathematics, dissertation "Boundary Value Problems for Elliptic Equations with Deviating Arguments in Higher Terms";

(c) March 1976, MAI, Master in Applied Mathematics.

1988 – up to now, Full Professor, Head of Department of Differential Equations in MAI. A list of my works contains more than 100 titles. Jointly with Professor G. A. Kamenskii I lead the research seminar at MAI on differential and functional differential equations.

Member of the Moscow Mathematical Society, Member of the American Mathematical Society, Member of Editorial Board of the International Journal "Functional Differential Equations", Member of Mathematical Working Group of European Society for Engineering Education, Member of Presidium of Mathematical Committee of the Russian Ministry for Education, Member of Committees on awarding Ph.D. degrees in the Moscow State University and the Moscow State Aviation Institute. In 1994 and in 1999 I organized the International Conferences on Differential and Functional Differential Equations in Moscow.


http://www.mathnet.ru/eng/person8567
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191451

Publications in Math-Net.Ru
1. On a class of functional-differential operators satisfying the Kato conjecture
A. L. Skubachevskiĭ
Algebra i Analiz, 30:2 (2018),  249–273
2. On a property of regularly accretive differential-difference operators with degeneracy
A. L. Skubachevskii
Uspekhi Mat. Nauk, 73:2(440) (2018),  189–190
3. Classical solutions of the Vlasov–Poisson equations with external magnetic field in a half-space
A. L. Skubachevskii, Y. Tsuzuki
Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  536–552
4. Boundary-value problems for elliptic functional-differential equations and their applications
A. L. Skubachevskii
Uspekhi Mat. Nauk, 71:5(431) (2016),  3–112
5. Nonlocal Problems for the Vlasov–Poisson Equations in an Infinite Cylinder
A. L. Skubachevskii
Funktsional. Anal. i Prilozhen., 49:3 (2015),  91–96
6. Vlasov–Poisson equations for a two-component plasma in a homogeneous magnetic field
A. L. Skubachevskii
Uspekhi Mat. Nauk, 69:2(416) (2014),  107–148
7. On the Classical and Generalized Solutions of Boundary-Value Problems for Difference-Differential Equations with Variable Coefficients
D. A. Neverova, A. L. Skubachevskii
Mat. Zametki, 94:5 (2013),  702–719
8. Initial-boundary value problems for the Vlasov–Poisson equations in a half-space
A. L. Skubachevskii
Tr. Mat. Inst. Steklova, 283 (2013),  204–232
9. Smoothness of generalized solutions of elliptic differential-difference equations with degenerations
V. A. Popov, A. L. Skubachevskii
CMFD, 39 (2011),  130–140
10. Smoothness of generalized solutions of elliptic difference-differential equations with degeneration near boundaries of subdomains
V. A. Popov, A. L. Skubachevskii
Uspekhi Mat. Nauk, 66:6(402) (2011),  195–196
11. A spectral problem with integral conditions
K. A. Darovskaya, A. L. Skubachevsky
Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  147–160
12. A priori estimates for elliptic differential-difference operators with degeneration
V. A. Popov, A. L. Skubachevskii
CMFD, 36 (2010),  125–142
13. Asymptotic formulas for solutions of nonlocal elliptic problems
A. L. Skubachevskii
Tr. Mat. Inst. Steklova, 269 (2010),  225–241
14. Nonclassical boundary-value problems. II
A. L. Skubachevskii
CMFD, 33 (2009),  3–179
15. On Necessary Conditions for the Fredholm Solvability of Nonlocal Elliptic Problems
A. L. Skubachevskii
Tr. Mat. Inst. Steklova, 260 (2008),  248–263
16. Nonclassical boundary value problems. I
A. L. Skubachevskii
CMFD, 26 (2007),  3–132
17. Second boundary-value problem for parabolic differential-difference equations
A. M. Selitskii, A. L. Skubachevskii
Uspekhi Mat. Nauk, 62:1(373) (2007),  207–208
18. Hyperbolicity of Periodic Solutions of Functional Differential Equations with Several Delays
N. B. Zhuravlev, A. L. Skubachevskii
Tr. Mat. Inst. Steklova, 256 (2007),  148–171
19. The second boundary-value problem for parabolic differential-difference equations
A. M. Selitskii, A. L. Skubachevskii
Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  324–347
20. On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations
H. Walther, A. L. Skubachevskii
Funktsional. Anal. i Prilozhen., 39:1 (2005),  82–85
21. Solvability of nonlocal elliptic problems in weight spaces
O. A. Kovaleva, A. L. Skubachevskii
Mat. Zametki, 67:6 (2000),  882–898
22. Spectral asymptotics of strongly elliptic differential-difference operators
V. V. Pod'yapol'skii, A. L. Skubachevskii
Differ. Uravn., 35:6 (1999),  793–800
23. Solvability and regularity of solutions of some classes of elliptic functional-differential equations
L. E. Rossovskii, A. L. Skubachevskii
Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 66 (1999),  114–192
24. First mixed problem for a parabolic difference-differential equation
A. L. Skubachevskii, R. V. Shamin
Mat. Zametki, 66:1 (1999),  145–153
25. On the Hopf bifurcation for a quasilinear parabolic functional-differential equation
A. L. Skubachevskii
Differ. Uravn., 34:10 (1998),  1394–1401
26. On non-negative contractive semigroups with non-local conditions
E. I. Galakhov, A. L. Skubachevskii
Mat. Sb., 189:1 (1998),  45–78
27. On a nonlocal spectral problem
E. I. Galakhov, A. L. Skubachevskii
Differ. Uravn., 33:1 (1997),  25–32
28. On Normality of Some Elliptic Functional Differential Operators
A. L. Skubachevskii
Funktsional. Anal. i Prilozhen., 31:4 (1997),  60–65
29. On the completeness and basis property for a system of root functions of strongly elliptic functional-differential operators
V. V. Pod'yapol'skii, A. L. Skubachevskii
Uspekhi Mat. Nauk, 51:6(312) (1996),  219–220
30. On some properties of elliptic and parabolic functional-differential equations
A. L. Skubachevskii
Uspekhi Mat. Nauk, 51:1(307) (1996),  169–170
31. A boundary value problem for a functional-differential equation with a linearly transformed argument
K. Cook, L. E. Rossovskii, A. L. Skubachevskii
Differ. Uravn., 31:8 (1995),  1348–1352
32. The method of cut-off functions in the theory of nonlocal problems
A. L. Skubachevskii
Differ. Uravn., 27:1 (1991),  128–139
33. Model nonlocal problems for elliptic equations in dihedral angles
A. L. Skubachevskii
Differ. Uravn., 26:1 (1990),  120–131
34. The second boundary value problem for elliptic differential-difference equations
A. L. Skubachevskii, E. L. Tsvetkov
Differ. Uravn., 25:10 (1989),  1766–1776
35. Eigenvalues and eigenfunctions of some nonlocal boundary value problems
A. L. Skubachevskii
Differ. Uravn., 25:1 (1989),  127–136
36. Elliptic problems with nonlocal conditions near the boundary
A. L. Skubachevskii
Mat. Sb. (N.S.), 129(171):2 (1986),  279–302
37. Solvability of elliptic problems with boundary conditions of Bitsadze–Samarskiǐ type
A. L. Skubachevskii
Differ. Uravn., 21:4 (1985),  701–706
38. Nonlocal boundary-value problems with a shift
A. L. Skubachevskii
Mat. Zametki, 38:4 (1985),  587–598
39. Nonlocal elliptic boundary value problems with degeneration
A. L. Skubachevskii
Differ. Uravn., 19:3 (1983),  457–470
40. Smoothness of generalized solutions of the first boundary-value problem for an elliptic difference-differential equation
A. L. Skubachevskii
Mat. Zametki, 34:1 (1983),  105–112
41. Nonlocal elliptic problems with a parameter
A. L. Skubachevskii
Mat. Sb. (N.S.), 121(163):2(6) (1983),  201–210
42. Some nonlocal elliptic boundary value problems
A. L. Skubachevskii
Differ. Uravn., 18:9 (1982),  1590–1599
43. On the spectrum of some nonlocal elliptic boundary value problems
A. L. Skubachevskii
Mat. Sb. (N.S.), 117(159):4 (1982),  548–558
44. On the minimum of a quadratic functional and on linear boundary value problems of elliptic type with deviating arguments
G. A. Kamenskii, A. D. Myshkis, A. L. Skubachevskii
Differ. Uravn., 16:8 (1980),  1469–1473
45. The minimum of a quadratic functional, and linear elliptic boundary-value problems with deviating arguments
G. A. Kamenskii, A. D. Myshkis, A. L. Skubachevskii
Uspekhi Mat. Nauk, 34:3(207) (1979),  197–198
46. A certain property of the solutions of a second order linear differential equation of unstable type with retarded argument
A. L. Skubachevskii
Differ. Uravn., 11:4 (1975),  760–761
47. The oscillatory solutions of a second order linear homogeneous differential equation with retarded argument
A. L. Skubachevskii
Differ. Uravn., 11:3 (1975),  462–469

48. In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS
A. A. Amosov, Yu. A. Dubinskii, V. V. Kozlov, M. K. Kerimov, L. G. Popov, A. L. Skubachevskii, V. M. Filippov, M. F. Cherepova
Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  379–380
49. Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010
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
CMFD, 39 (2011),  5–10
50. The Fourth International Conference on Differential and Functional-Differential Equations
A. L. Skubachevskii
Uspekhi Mat. Nauk, 61:4(370) (2006),  201–202

Presentations in Math-Net.Ru
1. Гипотеза Като о квадратном корне из оператора
A. L. Skubachevskii
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
November 28, 2018 16:00
2. Some Properties of Characteristics for the Vlasov-Poisson System with External Magnetic Field
A. L. Skubachevskii
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 15, 2018 10:30   
3. О новом классе операторов, удовлетворяющих гипотезе Като
A. L. Skubachevskii
Seminar on Theory of Functions of Real Variables
October 19, 2018 18:30
4. Об одном классе операторов, удовлетворяющих гипотезе Като
A. L. Skubachevskii
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 15, 2018 14:00
5. О новом классе операторов, удовлетворяющих гипотезе Като
A. L. Skubachevskii
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 30, 2017 11:00
6. О новом классе операторов, удовлетворяющих гипотезе Като
A. L. Skubachevskii

November 20, 2017
7. Смешанные задачи для уравнений Власова-Пуассона с внешним магнитным полем
A. L. Skubachevskii
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 19, 2016 16:00   
8. Смешанные задачи для уравнений Власова- Пуассона в кинетической теории высокотемпературной плазмы
A. L. Skubachevskii
Sinai Seminar
July 19, 2016 14:00
9. Смешанные задачи для уравнений Власова–Пуассона в кинетической теории высокотемпературной плазмы
A. L. Skubachevskii
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 26, 2016 11:00
10. Эллиптические функционально-дифференциальные уравнения и их приложения
A. L. Skubachevskii
Seminar on Theory of Functions of Real Variables
May 13, 2016 18:30
11. Нелокальные задачи для уравнений Власова-Пуассона в цилиндре
A. L. Skubachevskii

November 17, 2014
12. Nonlocal elliptic problems and applications to Vlasov-Poisson equations
A. L. Skubachevskii
The Seventh International Conference on Differential and Functional Differential Equations
August 26, 2014 16:25
13. О разрешимости первой смешанной задачи для уравнений Власова-Пуассона в бесконечном цилиндре
A. L. Skubachevskii
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 6, 2014 14:00
14. Уравнения Власова в бесконечном цилиндре
A. L. Skubachevskii

November 11, 2013
15. Уравнения Власова в бесконечном цилиндре
A. L. Skubachevskii
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 16, 2013 16:00
16. Разрешимость системы уравнений Власова-Пуассона в полупространстве
A. L. Skubachevskii
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 12, 2011 16:00
17. Opening ceremony
D. V. Anosov, A. G. Sergeev, A. L. Skubachevskii
Sixth International Conference on Differential and Functional Differential Equations DFDE-2011
August 15, 2011 11:00   
18. Асимптотика и гладкость решений нелокальных эллиптических задач
A. L. Skubachevskii
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 10, 2010 16:00
19. Нелокальные эллиптические задачи и приложения
A. L. Skubachevskii
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 3, 2008 11:00

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