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.
Citation
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