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

被引：0
|
作者：
Liang Ding
Jinlong Wei
Shiqing Zhang
机构：
[1] Guizhou Minzu University,School of Data Science and Information Engineering
[2] Sichuan University,School of Mathematics
[3] Zhongnan University of Economics and Law,School of Statistics and Mathematics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Critical points; Quantitative deformation lemma; Mountain pass theorem; Nontrivial periodic solutions; Discrete systems; 49J35; 34K13; 34G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 greatly improves the result in (Zhou et al. in Proc. R. Soc. Edinb. A 134:1013–1022, 2004).
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