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
收藏
页码：847 / 860
页数：14
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