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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.

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  • 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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