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

Tiexiang Li, Juntao Sun and Tsung-fang Wu

Applied Mathematics and Computation, 2015, vol. 251, issue C, 499-506

Abstract: 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.

Keywords: Fourth order differential equations; Homoclinic solutions; Mountain pass theorem; Variational methods (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:499-506

DOI: 10.1016/j.amc.2014.11.056

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