Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 525-530.

• Articles • Previous Articles     Next Articles

Existence of Several Perodic Solution for a Class of Second Order Functional Differential Equations

 TIAN De-Sheng, ZENG Xian-Wu   

  1. 1.School of Science, Hubei University of Technology, |Wuhan 430068;
    2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2008-02-02 Revised:2009-04-13 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    湖北工业大学科技项目(2006(5))资助.

Abstract:

By applying the continuation theorem of coincidence  degree theory developed by Mawhin, the authors study  the existence of several periodic solutions to the second order functional differential equation

  x''(t)+f(t, x(t), x(t-τ(t)))[x'(t)]n+a(t)x2(t)+b(t)x(t)=p(t)~(n ≥ 2).

 Some new results for the existence of at least two periodic solutions to such equation are obtained.

CLC Number: 

  • 34K13
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