Explicit abstract neutral differential equations with state-dependent delay: Existence, uniqueness and local well-posedness

被引：7

作者：

Hernandez, Eduardo ^{[1
]}

Wu, Jianhong ^{[2
]}

机构：

[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Computacao & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 365卷

基金：

巴西圣保罗研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

Explicit neutral differential equation; State-dependent delay; Strict solution; Local and global existence; Uniqueness of solution; Local well-posedness; INTEGRODIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS; C1+ALPHA-STRICT SOLUTIONS; SOLUTION MANIFOLDS; SYSTEMS;

D O I：

10.1016/j.jde.2023.05.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the local and global existence and uniqueness of strict solution and the local well-posedness for a class of abstract "explicit" neutral integro-differential equations with state-dependent delay. In the last section some examples motivated by explicit neutral ordinary integro-differential equations arising in the theory of population dynamics are presented.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：750 / 811

页数：62

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