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Stability and Boundedness of Retarded Liénard-type Equation

Stability and Boundedness of Retarded Liénard-type Equation
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摘要 This paper aims to investigate the retarded Liénard-type equation+f 1(x)+f 2(x)(t-τ)+f 3(x)2+φ(x)+g(x(t-τ))=0,where τ is a nonnegative constant, f 1,f 2,f 3,φ and g are continuous functions on R. Using Liapunov functional method, we establish a sufficient condition on the stability and boundedness of the solutions of above equation. This will generalize the main results of reference [2]. This paper aims to investigate the retarded Liénard-type equation+f 1(x)+f 2(x)(t-τ)+f 3(x)2+φ(x)+g(x(t-τ))=0,where τ is a nonnegative constant, f 1,f 2,f 3,φ and g are continuous functions on R. Using Liapunov functional method, we establish a sufficient condition on the stability and boundedness of the solutions of above equation. This will generalize the main results of reference [2].
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期7-12,共6页 数学季刊(英文版)
基金 SupportedbytheNationalNaturalScienceFoundationofChina(10 2 4 10 0 5)
关键词 稳定性 有界性 推迟型Liénard方程 常微分方程 连续函数 Kamke函数 retarded Liénard-type equation stability boundedness
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  • 1郑祖麻.泛函微分方程理论[M].安徽教育出版社,1994..

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