By means of the theory of generalized inversion of operators in Banach spaces, a solvability
criterion and a general form of solutions for integro-differential equations with a degenerate …

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

In this article, the existence of a solution for a nonlinear integral equation with deviating
argument that appears in nonlinear analysis and its applications is discussed. So, to do this …

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 the theory of generalized inversion of operators and integral operators, we establish a
criterion for the solvability and find the general form of solutions of an integrodifferential …

We consider weakly perturbed boundary-value problems for the Fredholm integral
equations with degenerate kernel in Banach spaces and establish the conditions of …

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 consider weakly perturbed Fredholm equations with degenerate kernels in Banach
spaces and establish conditions for ε= 0 to be a bifurcation point for the solutions of weakly …

SOLVABILITY OF LINEAR INTEGRODIFFERENTIAL EQUATIONS WITH
NONDEGENERATE KERNEL IN HILBERT SPACES Page 1 Ukrainian Mathematical …

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 …