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On the Existence of Solutions for Impulsive Duffing Dynamic Equations on Time Scales with Dirichlet Boundary Conditions

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  • Yongkun Li
  • Tianwei Zhang

Abstract

By using critical point theory, some new sufficient conditions for the existence of solutions of impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions are obtained. Some examples are also given to illustrate our results.

Suggested Citation

  • Yongkun Li & Tianwei Zhang, 2010. "On the Existence of Solutions for Impulsive Duffing Dynamic Equations on Time Scales with Dirichlet Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:152460
    DOI: 10.1155/2010/152460
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    References listed on IDEAS

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    1. Guangzhao Zeng & Fengyan Wang & Juan J. Nieto, 2008. "Complexity Of A Delayed Predator–Prey Model With Impulsive Harvest And Holling Type Ii Functional Response," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 77-97.
    2. Caneco, Acilina & Grácio, Clara & Leonel Rocha, J., 2009. "Kneading theory analysis of the Duffing equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1529-1538.
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    Cited by:

    1. Yongkun Li & Chao Wang, 2011. "Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).

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