| RUS ENG |
| Full version |
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| PEOPLE |
| Skubachevskii Alexander Leonidovich |
| Professor |
| Doctor of physico-mathematical sciences (1987) |
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.
