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Existence of Positive Periodic Solutions for -Dimensional Nonautonomous System

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  • Youjun Liu
  • Huanhuan Zhao
  • Jurang Yan

Abstract

In this paper we consider the existence, multiplicity, and nonexistence of positive periodic solutions for n -dimensional nonautonomous functional differential system , where are -periodic in and there exist -periodic functions such that for all with and , exist for ; are -periodic functions and , for ; is an -periodic function. We show that the system has multiple or no positive -periodic solutions for sufficiently large or small , respectively.

Suggested Citation

  • Youjun Liu & Huanhuan Zhao & Jurang Yan, 2014. "Existence of Positive Periodic Solutions for -Dimensional Nonautonomous System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, August.
    • Handle: RePEc:hin:jnddns:268418
    DOI: 10.1155/2014/268418
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