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Nonconstant Periodic Solutions of Discrete -Laplacian System via Clark Duality and Computations of the Critical Groups

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  • Bo Zheng

Abstract

We study the existence of periodic solutions to a discrete -Laplacian system. By using the Clark duality method and computing the critical groups, we find a simple condition that is sufficient to ensure the existence of nonconstant periodic solutions to the system.

Suggested Citation

  • Bo Zheng, 2014. "Nonconstant Periodic Solutions of Discrete -Laplacian System via Clark Duality and Computations of the Critical Groups," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, February.
  • Handle: RePEc:hin:jnlaaa:567471
    DOI: 10.1155/2014/567471
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