Infinitely many homoclinic solutions for a class of damped vibration problems

In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems $$ \ddot{x}(t)+B\dot{x}(t)-A(t)x(t)+H_{x}(t,x(t))=0,$$ where $A(t)\in (\mathbb{R},\mathbb{R}^{N})$ is a symmetric matrix for all $t\in \mathbb{R}$, $B=[b_{ij}]$ is an antisymmetric $N \tim...

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出版年:	Electronic Journal of Qualitative Theory of Differential Equations
主要な著者:	Huijuan Xu, Shan Jiang, Guanggang Liu
フォーマット:	論文
言語:	英語
出版事項:	University of Szeged 2022-12-01
主題:	homoclinic solutions clark's theorem critical points palais–smale condition
オンライン･アクセス:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9989