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Asymptotic Dichotomyin a Class of Third‐Order Nonlinear Differential Equations with Impulses

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  • Kun-Wen Wen
  • Gen-Qiang Wang
  • Sui Sun Cheng

Abstract

Solutions of quite a few higher‐order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third‐order nonlinear differential equation with impulses.

Suggested Citation

  • Kun-Wen Wen & Gen-Qiang Wang & Sui Sun Cheng, 2010. "Asymptotic Dichotomyin a Class of Third‐Order Nonlinear Differential Equations with Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:562634
    DOI: 10.1155/2010/562634
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    References listed on IDEAS

    as
    1. Chengmin Hou & Sui Sun Cheng, 2009. "Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-7, June.
    2. Chengmin Hou & Sui Sun Cheng, 2009. "Asymptotic Dichotomy in a Class of Fourth‐Order Nonlinear Delay Differential Equations with Damping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    3. D. D. Bainov & M. B. Dimitrova, 1996. "Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-10, January.
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