Stability of the Volterra Integrodifferential Equation

In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space X

Stability Properties of Linear Volterra Integrodifferential Equations with Nonlinear Perturbation

A Lyapunov functional is employed to obtain conditions that guarantee stability, uniform stability and uniform asymptotic stability of the zero solution of a scalar linear Volterra integrodifferential equation with nonlinear perturbation

Stability and robustness of slowly time-varying linear systems

"August 1987." Caption title. Text printed in double columns.Includes bibliographical references.Supported in part by a grant from the NASA Ames and Langley Research Centers, NASA/NAG 2-297Jeff S. Shamma and Michael Athans

Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on compact space. A simple example of application of the main results of this article is presented