On the set of solutions of a class of nonlinear evolution inclusions

Nikolaos S. Papageorgiou

doi:10.2996/kmj/1138039656

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

On the set of solutions of a class of nonlinear evolution inclusions

Nikolaos S. Papageorgiou

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Keywords: Multivalued operator, monotone operator, measurable multifunction, upper and lower semicontinuous multifunctions, evolution triple, compact embedding, Shauder-Tichonov fixed point theorem, periodic trajectories

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1992 Volume 15 Issue 3 Pages 387-402

DOI https://doi.org/10.2996/kmj/1138039656

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Abstract

In this paper first we establish the existence of solutions for a large class of nonlinear, nonconvex evolution inclusions and then we show that the solution multifunction has a continuous selector. Then we use that selector result to establish the existence of periodic trajectories and we show how this result can be used in nonlinear closed loop (feedback) control systems.

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