We establish necessary and sufficient conditions for the existence of solutions of a weakly
nonlinear boundary-value problem for a system of integrodifferential equations. By the …

We study the problems of finding the conditions for the existence of solutions of a linear
Noetherian boundary-value problem for a hybrid system of ordinary differential equations …

The averaging method is applied to the investigation of the problem of existence of solutions
of boundary-value problems for systems of differential and integrodifferential equations. It is …

Numerous works are devoted to the theory of integrodifferential equations extensively
developed for the last 50 years. As one of contemporary directions of investigations in this …

Necessary and sufficient conditions for the existence of solutions of weakly nonlinear
boundary-value problem of systems of integrodifferential equations with impulsive action at …

FREDHOLM BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF LINEAR
INTEGRODYNAMICAL EQUATIONS WITH DEGENERATE KERNEL ON A TIME SCALE …

We establish conditions for the existence of solutions of an impulsive weakly nonlinear
boundary-value problem in the critical case of the second order and determine the structure …

By using the theory of Moore-Penrose pseudoinverse operators, the necessary and
sufficient conditions for the solvability of a weakly nonlinear integral equation with a …

In this paper, an analogue of Bogolyubov's first theorem of the averaging method for systems
of Fredholm integro-differential equations is established. The averaging method is also …

We consider weakly nonlinear Fredholm integral equations with degenerate kernel in
Banach spaces and establish a necessary condition and sufficient conditions for the …