GREEN’S MATRICES FOR FIRST ORDER DIFFERENTIAL SYSTEMS WITH NONLOCAL CONDITIONS∗

First-order differential inclusions with nonlocal initial condition

We investigate initial value problems for first-order difkreutial inclusions with nonlocal conditions. We provide conditions on the right-hand side that are suiBcieut for obtainlug a priori hounds on solutions. We then rely on a theorem of Bohneublust and Karlin to prove existeuce of at least one solution. @ 2002 Elseviir Science Ltd. All rights reserved. KeyWords-Differential inclusion, Nonloc...

Fractional Evolution Integro-Differential Systems with Nonlocal Conditions

In this paper, we use the theory of resolvent operators, the fractional powers of operators, fixed point technique and the Gelfand–Shilov principle to establish the existence and uniqueness of local mild and then local classical solutions of a class of nonlinear fractional evolution integro-differential systems with nonlocal conditions in Banach space. As an application that illustrates the abs...

Controllability of Impulsive Functional Differential Systems with Nonlocal Conditions

In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Mönch fixed point theorem.

A third-order nonlocal problem with nonlocal conditions

Impulsive Functional-differential Equations with Nonlocal Conditions