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Dynamic analysis of an impulsive differential equation with time-varying delays

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Abstract

An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.

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Authors and Affiliations

  1. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410075, P.R.China

    Ying Li

  2. School of Science, Guilin University of Technology, Guilin, Guangxi, 541004, P.R.China

    Yuanfu Shao

Authors
  1. Ying Li
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  2. Yuanfu Shao
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Corresponding author

Correspondence to Yuanfu Shao.

Additional information

This paper is supported by National Natural Science Foundation of P.R.China (11161015, 11161011, 11361012) and Natural Science Foundation of Guangxi (2013GXNSFAA019003, 2013GXNSFAA019349).

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Li, Y., Shao, Y. Dynamic analysis of an impulsive differential equation with time-varying delays. Appl Math 59, 85–98 (2014). https://doi.org/10.1007/s10492-014-0043-9

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  • DOI: https://doi.org/10.1007/s10492-014-0043-9

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