Acta mathematica scientia,Series B

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BOUNDEDNESS AND CONVERGENCE FOR THE NON-LIENARD TYPE DIFFERENTIAL EQUATION

Zhao Liqin   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • Received:2004-12-25 Revised:2005-08-16 Online:2007-04-20 Published:2007-04-20
  • Contact: Zhao Liqin

Abstract:

In this article, the author studies the boundedness and convergence for the non--Lienard type differential equation
x' = a(y)-f(x),
y' =b(y)β(x)-g(x)+e(t),
where a(y), b(y), f(x), g(x), β(x) are real continuous functions in y∈ R or x ∈ R, β(x)≥ 0 for all x and e(t) is a real continuous function on R+={t: t≥ 0} such that the equation has a unique solution for the initial value problem. The necessary and sufficient conditions are obtained and some of the results in the literatures are improved and extended.

Key words: Boundedness, convergence, differential equation

CLC Number: 

  • 34C26
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