We study weakly perturbed integrodifferential equations with degenerate kernel in Banach
spaces and establish conditions for the bifurcation of solutions of weakly perturbed …

With the use of the theory of generalized inversion of operators and integral operators, we
obtain a criterion of solvability and determine the general form of solutions of a linear …

By using the generalized inversion theory of operators, we establish a criterion of solvability
and the general form of solutions of the operator equations with control that are not …

We consider weakly perturbed boundary-value problems for integrodifferential equations
with degenerate kernel in Banach spaces. We obtain bifurcation conditions from the point ε …

We propose methods for the construction of the operator matrices generalized inverse to (2×
2) operator matrices in Banach spaces. We obtain the condition of solvability and a formula …

The efficient construction and employment of block operators are vital for contemporary
computing, playing an essential role in various applications. In this paper, we prove a …

We establish conditions for the existence of solutions of boundary-value problems with
control for the Fredholm integral equations with degenerate kernels in Banach spaces and …

We consider weakly nonlinear boundary-value problems for operator equations with
generalized invertible operator in the linear part of the boundary-value problem in the critical …

Для дослiдження значної кiлькостi задач теорiї керування активно використовуються
сучаснi результати з теорiї крайових задач. Наприклад, деякi задачi математичної …

By using the theory of generalized inversion of operators and integral operators, we
establish a solvability criterion and the general form of solutions to the boundary-value …