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Infinitely Many Homoclinic Solutions for Nonperiodic Fourth Order Differential Equations with General Potentials

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  • Liu Yang

Abstract

We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.

Suggested Citation

  • Liu Yang, 2014. "Infinitely Many Homoclinic Solutions for Nonperiodic Fourth Order Differential Equations with General Potentials," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
  • Handle: RePEc:hin:jnlaaa:435125
    DOI: 10.1155/2014/435125
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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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