Application of matrix polynomials to investigation of singular equations.
Application of partial averaging for a class of integro-differential equations of Fredholm type.
Application of the averaging method for a two-point boundary problem for systems of integro-differential equations of Fredholm type.
Approximate properties of principal solutions of Volterra-type integrodifferential equations with infinite aftereffect
The integrodifferential system with aftereffect (“heredity” or “prehistory”) dx/dt=Ax+-t R(t,s)x(s,)ds, is considered; here is a positive small parameter, is a constant matrix, is the kernel of this system exponentially decreasing in norm as . It is proved, if matrix and kernel satisfy some restrictions and does not exceed some bound , then the -dimensional set of the so-called principal two-sided solutions approximates in asymptotic sense the infinite-dimensional set of solutions...
Approximate solutions for integrodifferential equations of the neutral type
The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.
Approximation of abstract linear integrodifferential equations
This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.
Approximation of Infinite Delay and Volterra Type Equations.
Approximations of solutions to retarded integrodifferential equations.
Associated transforms for solution of nonlinear equations.
Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem.
Asymptotic behaviour of solutions of the Tjon-Wu equation
Asymptotic error expansions for linear multistep methods for a class delay integro-differential equations
Asymptotic Stability Analysis of ...-Methods for Functional Differential Equations.
Asymptotic stability for a class of integrodifferential equations
Asymptotics of integrodifferential models with integrable kernels II.
Asymptotics of integrodifferential models with integrable kernels.
Backward Euler type methods for parabolic integro-differential equations in Banach space
Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions
Boundary value problems for linear generalized differential equations and their adjoints
Boundedness in functional dynamic equations on time scales.