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2021 Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators
Nguyen Thi Van Anh, Tran Dinh Ke, Do Lan
Topol. Methods Nonlinear Anal. 58(1): 275-305 (2021). DOI: 10.12775/TMNA.2021.010

Abstract

In this paper we are interested in the anti-periodic problem governed by a class of semilinear differential inclusions with linear parts generating integrated semigroups. By adopting the Lyapunov-Perron method and the fixed point argument for multivalued maps, we prove the existence of anti-periodic solutions. Furthermore, we study the long-time behavior of mild solutions in connection with anti-periodic solutions. Consequently, as the nonlinearity is of single-valued, we obtain the exponential stability of anti-periodic solutions. An application of theoretical results to a class of partial differential equations will be given.

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Nguyen Thi Van Anh. Tran Dinh Ke. Do Lan. "Anti-periodic problem for semilinear differential inclusions involving Hille-Yosida operators." Topol. Methods Nonlinear Anal. 58 (1) 275 - 305, 2021. https://doi.org/10.12775/TMNA.2021.010

Information

Published: 2021
First available in Project Euclid: 21 September 2021

Digital Object Identifier: 10.12775/TMNA.2021.010

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.58 • No. 1 • 2021
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