Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1724-1731.

• Articles • Previous Articles     Next Articles

Almost Periodic Solutions to a Class of Generalized Liénard Equations

  

  1. Department of Mathematics, Yulin Normal University, Guangxi Yulin 537000
  • Received:2007-03-11 Revised:2008-09-02 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10871074, 10671105)、广东省自然科学基金(05300162)和玉林师范学院2008年院级青年项目(2008YJQN06)资助

Abstract:

This paper investigates bounded solutions or the existence of almost  periodic solutions of the following Liénard system: x'=φ(y)-F(x), y'=-g(x)+p(t). The authors obtain some results that the ultimate boundedness with respect to part of the solution implies the existence of an almost periodic solution by using Amerio's results. The results are the natural generalization of the main result by Cieutat[1].

Key words: Generalized Liénard equation, Ultimate bounded solution, Asymptotic almost periodic solution

CLC Number: 

  • 34A30
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