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

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  • Li, Tiexiang
  • Sun, Juntao
  • Wu, Tsung-fang

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.

Suggested Citation

  • Li, Tiexiang & Sun, Juntao & Wu, Tsung-fang, 2015. "Existence of homoclinic solutions for a fourth order differential equation with a parameter," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 499-506.
    • Handle: RePEc:eee:apmaco:v:251:y:2015:i:c:p:499-506
    DOI: 10.1016/j.amc.2014.11.056
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    Cited by:

    1. Stepan Tersian, 2020. "Infinitely Many Homoclinic Solutions for Fourth Order p-Laplacian Differential Equations," Mathematics, MDPI, vol. 8(4), pages 1-10, April.

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