一类非线性系统解的有界性

Abstract

Abstract:

In this paper the authors study the boundedness of solutions of the follo wing nonlinear differential system (dx/dt)=h(y)-φ(x), (dy/dt)=-h(y)f(x)-g(x)k(y)The authors obtain a new sufficient condition for all solutions of (E) to be bou nded. This result can be applied to the Liénard type equation.
d^2x/dt^2+f^*(x)(dx/dt)+g)^*(x)=0 The result extends and improves some results associated with the same problems i n the literature ［1－6］.

Key words: Nonlinear differential system, Liénard type equation, Solutions, Boundedness

CLC Number:

34C26

LIU Bing-Wen, BANG Le-Qun, TU De-Zhi. On the Boundedness of the Solutions of a Class of Nonlinear Differential System[J].Acta mathematica scientia,Series A, 2003, 23(5): 589-597.

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On the Boundedness of the Solutions of a Class of Nonlinear Differential System

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