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Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems

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  • Peng Zhang
  • Chun-Lei Tang

Abstract

Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods. One sequence of solutions is local minimum points of functional, and the other is minimax type critical points of functional. We do not assume any symmetry condition on nonlinearity.

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  • Peng Zhang & Chun-Lei Tang, 2010. "Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:620438
    DOI: 10.1155/2010/620438
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