Uniform boundedness of the solutions of functional differential equations with infinite delay

被引:0
作者
黄启昌
机构
[1] Department of Mathematics
[2] Northeast Normal University
[3] Changchun
[4] China
关键词
differential equations; infinite delay; uniform boundedness;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
<正> This note deals with the functional differential equations with infinite delay x'=f(t, x,), (1)where x∈R~n, f: [0,∞) ×C9→R~n, Cg is the phase space of (1), which is defined as follows:C=∮((-∞, 0], R~n) is the set of all the continuous vector-functions mapping (-∞, 0] toR~n. The function g:(-∞, 0]→ [1, ∞) is continuous and nonincreasing with g (0)=1 andg(-∞)=∞.
引用
收藏
页码:451 / 453
页数:3
相关论文
共 4 条
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Boundedness in functional differential equations. Burton,T. A. Funkcialaj Ekvacioj Serio Internacia . 1982
[2]  
Uniform asymptotic stability in infinite systems, J Math. Hering,R. H. Anal. Appl . 1993
[3]  
Stability Theory by Liapunov’s Second Method, 1st ed. Yoshizawa,T. . 1966
[4]  
Boundedness and periodic solutions in infinite delay systems, J Math. Hering,R. H. Anal. Appl . 1992