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

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》1997年第1期19-22,共4页微分方程年刊（英文版）

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]).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[理学—数学]