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

H (t, s)| t− s| β, where H (t, s), H (t, s) are functions bounded in the domain [a, b]×[a, b], 0< γ<
1, 0< β< 1, f∈ L2 [a, b], l= col (l1, l2,..., lp): L2 [a, b]→ Rp, J= col (J1, J2,..., Jp): L2 [a, b]→ Rp …

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 theory of generalized inversion of operators in Banach spaces, we establish
conditions for the generalized invertibility of integrodifferential operators with degenerate …

In this paper, we consider the continuous Hopfield model with a weak interaction of network
neurons. This model is described by a system of differential equations with linear boundary …

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

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

We consider a perturbed linear boundary-value problem for a weakly singular integral
equation. Assume that the generating boundary-value problem is unsolvable for arbitrary …

Побудова математичних моделей процесiв, якi вiдбуваються в реальному свiтi,
приводить до крайових задач для рiзноманiтних операторних рiвнянь. З точки зору …

In this paper, we propose a new application of the coefficient diagram method (CDM) to
design a robust controller of non-linear uncertain system, the control is applied to a …