Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay

被引：21
|
作者：
Hernandez, Eduardo [1 ]
Wu, Jianhong [2 ]
Chadha, Alka [3 ]
机构：
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil
[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
[3] NorthCap Univ, Dept Appl Sci, Gurugram 122017, India
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 10期
基金：
加拿大自然科学与工程研究理事会; 巴西圣保罗研究基金会;
关键词：
Approximate controllability; Abstract Cauchy problem; Analytic semigroup; State-dependent delay;
D O I：
10.1016/j.jde.2020.06.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence and uniqueness of mild and strict solutions for abstract differential equations with state-dependent delay. In the last section, some examples are presented. (c) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：8701 / 8735
页数：35
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