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THE STABILITY OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS 被引量:2

THE STABILITY OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS
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摘要 This paper deals with the problem on the stability for zero solution to a class of functional differential equations with infinite delays. We give up the usual confine to the boundedness of the coefficient matrix of the equations and obtain some new results which guarantee the stability and asymptotic stability for zero solution of the equations. The results are of simple forms, easily checked and applicable, and extend the relative results of [1]. This paper deals with the problem on the stability for zero solution to a class of functional differential equations with infinite delays. We give up the usual confine to the boundedness of the coefficient matrix of the equations and obtain some new results which guarantee the stability and asymptotic stability for zero solution of the equations. The results are of simple forms, easily checked and applicable, and extend the relative results of [1].
作者 王全义
出处 《Annals of Differential Equations》 2000年第1期89-97,共9页 微分方程年刊(英文版)
基金 supported by the Natural Science Foundation of Fujian Province.
关键词 functional differential equations infinite delays STABILITY asym- ptotic stability functional differential equations, infinite delays, stability, asym- ptotic stability
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