Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition

被引：2

作者：

Shavadze, Tea ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, Dept Math, 13 Univ Str, GE-0186 Tbilisi, Georgia

[2] I Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 13 Univ Str, GE-0186 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 04期

基金：

美国国家科学基金会;

关键词：

Delay-controlled functional differential equation; variation formula of solution; effect of the discontinuous initial condition; effect of delays perturbations; effect of the initial moment perturbation;

D O I：

10.1515/gmj-2019-2080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the nonlinear controlled functional differential equations with several constant delays, the local variation formulas of solutions are proved, in which the effects of the discontinuous initial condition and perturbations of delays and the initial moment are detected.

引用

页码：617 / 628

页数：12

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