Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 1094-1101.

• Articles • Previous Articles     Next Articles

Existence and Uniqueness of Periodic Solutions for a Class of Neutral |Differential System

 CHEN Zhi-Bin1,2, HUANG Li-Hong2   

  1. 1.School of Science, Hunan University of Technology, Hunan Zhuzhou 412000;
    2.College of Mathematics and Econometrics, Hunan University, Changsha 410082
  • Received:2009-04-28 Revised:2010-03-09 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(60775047)和湖南省自然科学基金(060D74)资助

Abstract:

By using the analytical method and utilizing Krasnoselskii fixed point theory, this paper qualitatively and quantitatively studies the existence of periodic solutions for a class of neutral differential systems, and obtains some sufficient conditions of existence and uniqueness of periodic solution for this class of systems. The research method is different from  the commonly used method. The main conclusions obtained are new, and promote the main conclusions in literature.

Key words: Neutral,  Differential system, Periodic solutions, Existence, Uniqueness, Fixed point theory

CLC Number: 

  • 34C25
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