Periodic solutions for implicit evolution inclusions

Nikolaos S. Papageorgiou; Vicenţiu D. Rădulescu; Dušan D. Repovš

doi:10.3934/eect.2019029

Article Contents

2019, Volume 8, Issue 3: 621-631. Doi: 10.3934/eect.2019029

This issue Previous Article Optimal control of evolution differential inclusions with polynomial linear differential operators Next Article Waves and diffusion on metric graphs with general vertex conditions

Periodic solutions for implicit evolution inclusions

1.
Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece
2.
Institute of Mathematics, Physics and Mechanics, 1000 Ljubljana, Slovenia
3.
Faculty of Applied Mathematics, AGH University of Science and Technology, 30-059 Kraków, Poland
4.
Institute of Mathematics "Simion Stoilow" of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
5.
Faculty of Education and Faculty of Mathematics and Physics, University of Ljubljana, Kardeljeva ploščad 16, 1000 Ljubljana, Slovenia

^* Corresponding author: Vicenţiu D. Răadulescu
^* Corresponding author: Vicenţiu D. Răadulescu

Received: July 31, 2018

Revised: September 30, 2018

Early access: May 2019

Published: August 2019

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Abstract

We consider a nonlinear implicit evolution inclusion driven by a nonlinear, nonmonotone, time-varying set-valued map and defined in the framework of an evolution triple of Hilbert spaces. Using an approximation technique and a surjectivity result for parabolic operators of monotone type, we show the existence of a periodic solution.

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Mathematics Subject Classification: Primary: 34A20; Secondary: 35A05, 35R70.

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References

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