Boundedness of solutions of nonlinear differential delay equations with positive Green functions and the Aizerman-Myshkis problem

被引：13

作者：

Gil', MI ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 08期

关键词：

nonlinear equations with delay; positive Green functions; boundedness of solutions; absolute stability; the Aizerman-Myshkis problem;

D O I：

10.1016/S0362-546X(01)00725-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness of solutions of nonlinear differential equations with delay were studied. The delay equations consisted of positive Green functions and the Aizerman-Myshkis problem. Positivity conditions for the Green functions of a higher-order time-variant linear equations was established. The positivity conditions were used to show the existence of nonnegative solutions for the corresponding nonlinear equation.

引用

页码：1065 / 1078

页数：14

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