On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition

被引：0

作者：

Nachaoui, Abdeljalil ^{[3
]}

Shavadze, Tea ^{[1
,2
]}

Tadumadze, Tamaz ^{[2
,4
]}

机构：

[1] Business & Technol Univ, 82 I Chavchavadze Ave, GE-0162 Tbilisi, Georgia

[2] Iv Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 11 Univ St, GE-0186 Tbilisi, Georgia

[3] Univ Nantes, Jean Leray Lab Math, CNRS, UMR 6629, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France

[4] Javakhishvili Tbilisi State Univ, Dept Math, 11 Univ St, GE-0186 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 05期

基金：

美国国家科学基金会;

关键词：

Neutral functional-differential equation; perturbations; representation of solution; discontinuous initial condition;

D O I：

10.1515/gmj-2023-2122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The analytic relation between solutions of the original Cauchy problem and a corresponding perturbed problem is established. In the representation formula of solution, the effects of the discontinuous initial condition and perturbation of the initial data are revealed.

引用

页码：847 / 860

页数：14

共 47 条

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GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (01) : 1 - 12
[40] Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition
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