EXISTENCE, UNIQUENESS AND QUALITATIVE PROPERTIES OF GLOBAL SOLUTIONS OF ABSTRACT DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

被引：13
|
作者：
Hernandez, Eduardo [1 ]
Wu, Jianhong [2 ]
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
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2019年 / 62卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
state-dependent delay equations; global solutions; strict solutions; analytic semigroup; partial differential equations; ALMOST-PERIODIC SOLUTIONS; RESPECT; PARAMETERS; DYNAMICS; MODEL;
D O I：
10.1017/S001309151800069X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence, uniqueness and qualitative properties of global solutions of abstract differential equations with state-dependent delay. Results on the existence of almost periodic-type solutions (including, periodic, almost periodic, asymptotically almost periodic and almost automorphic solutions) are proved. Some examples of partial differential equations with state-dependent delay arising in population dynamics are presented.
引用
收藏
页码：771 / 788
页数：18
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