On abstract differential equations with state dependent non-local conditions

被引：17

作者：

Hernandez, Eduardo ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

State dependent delay equations; Strict solutions; Analytic semigroup; Partial differential equations; DELAY EVOLUTION-EQUATIONS; INITIAL CONDITIONS; POPULATION-DYNAMICS; TRAVELING-WAVES; CAUCHY-PROBLEM; EXISTENCE; SYSTEMS; INCLUSIONS; MODEL; PARAMETERS;

D O I：

10.1016/j.jmaa.2018.05.080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concept of "state dependent nonlocal condition" and study the existence and uniqueness of solution for a general class of abstract differential equations with state dependent delay subject to this class of conditions. In this type of problem the nonlocal condition can be dependent on times or time intervals determined by the (unknown) solution. Some examples on partial differential equations with state dependent delay arising in population dynamics are presented. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：408 / 425

页数：18

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