Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang-bang” theorem for a class of nonlinear, infinite dimensional control systems.

First Page

205

Last Page

220

DOI

10.1155/S1048953392000170

Publication Date

1992

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