Existence of homoclinic solutions for a fourth order differential equation with a parameter

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摘要

In this paper, we study the existence of homoclinic solutions for a class of fourth order differential equations. By using variational methods, the existence and the non-existence of nontrivial homoclinic solutions are obtained, depending on a parameter.

论文关键词:Fourth order differential equations,Homoclinic solutions,Mountain pass theorem,Variational methods

论文评审过程:Available online 12 December 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.11.056