Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay

被引:0
|
作者
Hernandez, Eduardo [1 ]
Wu, Jianhong [2 ]
Fernandes, Denis [3 ]
机构
[1] Univ Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP, Brazil
[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
[3] Univ Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
来源
APPLIED MATHEMATICS AND OPTIMIZATION | 2020年 / 81卷 / 01期
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
State dependent delay; Mild solutions; Strict solutions; Analytic semigroup; INTEGRODIFFERENTIAL EQUATIONS; HEAT-CONDUCTION; PARAMETERS; RESPECT; DISCRETE; MODEL;
D O I
10.1007/s00245-018-9477-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.
引用
收藏
页码:89 / 111
页数:23
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