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On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation

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  • Yueding Yuan
  • Zhiming Guo

Abstract

This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation By using Schauder-fixed-point theorem and Krasnoselskii-fixed-point theorem, some sufficient conditions are obtained for the existence of asymptotic periodic solutions. Main results in this paper extend the related results due to Ding (2010) and Lopes (1976).

Suggested Citation

  • Yueding Yuan & Zhiming Guo, 2013. "On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, March.
    • Handle: RePEc:hin:jnlaaa:175479
    DOI: 10.1155/2013/175479
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