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Existence and Multiplicity of Periodic Solutions Generated by Impulses

Author

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  • Liu Yang
  • Haibo Chen

Abstract

We investigate the existence and multiplicity of periodic solutions for a class of second‐order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many periodic solutions generated by impulses under different conditions, respectively. Recent results in the literature are generalized and significantly improved.

Suggested Citation

  • Liu Yang & Haibo Chen, 2011. "Existence and Multiplicity of Periodic Solutions Generated by Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:310957
    DOI: 10.1155/2011/310957
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    References listed on IDEAS

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    1. Eberhard Zeidler, 1990. "Nonlinear Functional Analysis and its Applications," Springer Books, Springer, number 978-1-4612-0981-2, March.
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    Cited by:

    1. Dezhu Chen & Binxiang Dai, 2012. "Periodic Solutions of Some Impulsive Hamiltonian Systems with Convexity Potentials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Lin Li & Wen-Wu Pan, 2013. "A note on nonlinear fourth-order elliptic equations on $$\mathbb R ^N$$," Journal of Global Optimization, Springer, vol. 57(4), pages 1319-1325, December.

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