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THE RAZUMIKHIN TYPE THEOREMS OF STABILITY AND BOUNDEDNESS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY    

THE RAZUMIKHIN TYPE THEOREMS OF STABILITY AND BOUNDEDNESS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

  

文献类型:期刊文章

作  者:陈强[1] 陈海明[1]

机构地区:[1]长沙工程兵学院,410072

出  处:《Annals of Differential Equations》

年  份:1997

卷  号:13

期  号:1

起止页码:19-22

语  种:中文

收录情况:MR、ZMATH、普通刊

摘  要:In this paper, we obtain some new Razumikhin type theorems of stability andboundedness for functional differential equations with infinite delay. Under thecondition of V((ξ)) V(t), we substitute the requirement satisfying V 0 insome sets of points {(t, x)|V(t, x) = αi or βi, i = 1, 2,...} for the requirementV 0 in classical theorems of stability and boundedness (for reference, see[1]-[3]).

关 键 词:infinite delay  STABILITY BOUNDEDNESS

分 类 号:O175[数学类]

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