Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
13.09.1931
E-mail: Keywords: differential equations; integral equations; integro-differential equations; equations in partial derivatives; asymptotical methods; classes of singular-perturbed equations and systems; periodical and nearly periodical solutions; incorrect problems; uniqueness, existence and stability; existence and approximation of generalized integral equations.
Subject:
Has shown the principal difference of integro-differential equations by perturbation theory under derivatives of corespondent theory of differential equations and created general asymptotical method for searching of wide class of singular-perturbed equations and systems. Developed the theory of branching of periodical, nearly periodical and bounded solutions of differential and integro-differential perturbed equations under highest derivative. Developed the theory of linear and nonlinear integral equations of first class of equations in continuous on final interval space, offered the methods of regularization of solutions of these equations, based on methods of theory of singular-perturbed systems. Developed the method of additional argument, the main idea of which is that the initial problem by inserting the additional variable is reduced to convenient to searching system of integral equations.
Main publications:
Asymptotical Methods in Theory of singular-perturbed integer-differential systems, Ilim, Frunze, 1972.
Oscillations and stability of solution of singular-perturbed integer-differential systems, Ilim, Frunze, 1974.
