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

Nikolaos S. Papageorgiou

doi:10.2996/kmj/1138039656

著者情報

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

ジャーナルフリー

1992 年 15 巻 3 号 p. 387-402

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

詳細

抄録

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.

責任著者(Corresponding author)

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