On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems

Abstract In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear second-order discrete systems, which g...

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Bibliographic Details
Main Authors: Liang Ding, Jinlong Wei, Shiqing Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2102-8