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Oscillatory and Asymptotic Behavior of Solutions for Nonlinear Impulsive Delay Differential Equations

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Abstract

The oscillatory and asymptotic behavior of the solutions for third order nonlinear impulsive delay differential equations are investigated. Some novel criteria for all solutions to be oscillatory or be asymptotic are established. Three illustrative examples are proposed to demonstrate the effectiveness of the conditions.

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Authors and Affiliations

  1. College of Science, South China Agricultural University, Guangzhou, 510642, China

    Wei-hua Mao

  2. Institute of Automation, Chinese Academy of Sciences, Beijing, 100080, China

    An-hua Wan

Authors
  1. Wei-hua Mao
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  2. An-hua Wan
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Correspondence to An-hua Wan.

Additional information

Supported by the Principal Foundation of South China Agricultural University (No. 2005K023).

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Mao, Wh., Wan, Ah. Oscillatory and Asymptotic Behavior of Solutions for Nonlinear Impulsive Delay Differential Equations. Acta Math. Appl. Sin, Engl. Ser. 22, 387–396 (2006). https://doi.org/10.1007/s10255-006-0313-8

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  • DOI: https://doi.org/10.1007/s10255-006-0313-8

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