Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 56-60.

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Periodic Solutions of Singular Neutral Differential Systems with Infinite Delay 

  

  1. 1. School of Mathematical Science, Anhui University2. School of Mathematics and Computational Science, Anqing Teachers College
  • Received:2008-04-22 Online:2011-03-30 Published:2023-05-10
  • About author:ZHOU Gui-fang(1985- ), female, native of Ningguo, Anhui, Ph.D., engages in functional differential equations and its applications.
  • Supported by:
     Supported by the National Nature Science Foundation of China(10771001); Supported by the Key Program of Ministry of Education of China(205068),Supported by the Foundation of Education Department of Anhui province(KJ2008B152); Supported by the Foundation of Innovation Team of Anhui University;

Abstract: In this paper, we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay. By using matrix measure and Krasnoselskii’s fixed point theorem, we obtained the sufficient conditions of the existence of periodic solutions.

Key words: infinite delay, degenerate differential systems, periodic solutions, Krasnoselskii’s
?xed point theorem


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