Asymptotic Stability and Boundedness for Functional Differential Equations

被引：0
作者：
T.A.Burton (Department of Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 1997年 / 03期
关键词：
Functional differential equations; Asymptotic stability; Boundedness; Liapunov func-;
D O I：
暂无
中图分类号：
O175.13 [稳定性理论];
学科分类号：
070104 ;
摘要：
We study a system(D)x’=F(t,x)of functional differential equations,together with ascalar equation(S)x’=-a(t)f(x)+b(t)g(x(t-h))as well as perturbed forms.A Liapunov functionalis constructed which has a derivative of a nature that has been widely discussed in the literature.On the basis of this example we prove results for(D)on asymptotic stability and equi-boundedness.
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页码：363 / 372
页数：10
相关论文
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[2]   STABILITY THEOREMS FOR NONAUTONOMOUS FUNCTIONAL-DIFFERENTIAL EQUATIONS BY LIAPUNOV FUNCTIONALS [J].
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TOHOKU MATHEMATICAL JOURNAL, 1989, 41 (01) :65-104
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[4]  
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[5]  
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