Existence and uniqueness of global solution for abstract second order differential equations with state-dependent delay

被引：10

作者：

Hernandez, Eduardo ^{[1
,2
]}

机构：

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

[2] Fac Filosofia Ciencias & Letras Ribeirao Preto, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, Brazil

来源：

MATHEMATISCHE NACHRICHTEN | 2022年 / 295卷 / 01期

关键词：

abstract Cauchy problem; cosine function; state-dependent delay; C1+ALPHA-STRICT SOLUTIONS; EVOLUTION-EQUATIONS; WELLPOSEDNESS; DYNAMICS;

D O I：

10.1002/mana.201900463

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the global existence and uniqueness of solutions and wellposedness of a general class of abstract second order differential equations with state dependent delay. Some examples are presented.

引用

页码：124 / 139

页数：16

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