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Extremal solutions to a class of multivalued integral equations in Banach space

Sergiu Aizicovici and Nikolaos S. Papageorgiou

International Journal of Stochastic Analysis, 1992, vol. 5, 1-16

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:465903

DOI: 10.1155/S1048953392000170

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