The Local Representation Formula of Solution for the Perturbed Controlled Differential Equation with Delay and Discontinuous Initial Condition

被引：1
|
作者：
Nachaoui, A. [1 ]
Shavadze, T. [2 ]
Tadumadze, T. [2 ,3 ]
机构：
[1] Univ Nantes, Jean Leray Lab Math, CNRS UMR 6629, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France
[2] I Vekua Inst Appl Math, 2 Univ St, GE-0186 Tbilisi, Georgia
[3] Iv Javakhishvili Tbilisi State Univ, Dept Math, GE-0186 Tbilisi, Georgia
来源：
MATHEMATICS | 2020年 / 8卷 / 10期
基金：
美国国家科学基金会;
关键词：
delay-controlled differential equation; representation of solution; discontinuous initial condition; perturbations;
D O I：
10.3390/math8101845
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the perturbed controlled nonlinear delay differential equation with the discontinuous initial condition, a formula of the analytic representation of solution is proved in the left neighborhood of the endpoint of the main interval. In the formula, the effects of perturbations of the delay parameter, the initial vector, the initial and control functions are detected.
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页码：1 / 12
页数：12
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