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Periodic Solutions for a Class of Nonautonomous Differential System with Impulses and Time-varying Delays

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Abstract

By employing Mawhin continuation theorem and constructing suitable Lyapunov functions, the existence and globally exponential stability of periodic solution for a class of nonautonomous differential system with impulses and time-varying delays are investigated in this paper. Some applications, an illustrative example and numerical simulations are given to show the effectiveness of the main results.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Guilin University of Technology, Guilin, Guangxi, 541004, P.R. China

    Yuanfu Shao

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

    Yuanfu Shao, Ying Li & Changjin Xu

Authors
  1. Yuanfu Shao
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  2. Ying Li
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  3. Changjin Xu
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Corresponding author

Correspondence to Yuanfu Shao.

Additional information

In memory of Alwyn Scott.

This paper is supported by Educational Department Foundation of Guizhou Province (20090038), National Natural Science Foundation of P.R. China (10971229) and Doctoral Foundation of Guilin University of Technology (2010).

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Shao, Y., Li, Y. & Xu, C. Periodic Solutions for a Class of Nonautonomous Differential System with Impulses and Time-varying Delays. Acta Appl Math 115, 105–121 (2011). https://doi.org/10.1007/s10440-010-9598-y

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  • DOI: https://doi.org/10.1007/s10440-010-9598-y

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