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2021 Infinitely many periodic solutions of Duffing equations under integral condition
Nannan Zheng, Zaihong Wang
Topol. Methods Nonlinear Anal. 57(1): 297-315 (2021). DOI: 10.12775/TMNA.2020.017

Abstract

In this paper, we study the multiplicity of periodic solutions of a Duffing equation $$ x''+g(x)=p(t). $$ By using the generalized Poincaré-Birkhoff fixed point theroem, we prove that this equation has infinitely many periodic solutions provided $g$ satisfies a kind of integral condition and the related time map satisfies oscillating condition.

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Nannan Zheng. Zaihong Wang. "Infinitely many periodic solutions of Duffing equations under integral condition." Topol. Methods Nonlinear Anal. 57 (1) 297 - 315, 2021. https://doi.org/10.12775/TMNA.2020.017

Information

Published: 2021
First available in Project Euclid: 24 December 2020

Digital Object Identifier: 10.12775/TMNA.2020.017

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 1 • 2021
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