Existence results for abstract functional differential equations with infinite state-dependent delay and applications

被引：3

作者：

Henriquez, Hernan R. ^{[1
]}

Mesquita, Jaqueline G. ^{[2
]}

dos Reis, Henrique C. ^{[2
]}

机构：

[1] Univ Santiago Chile, Fac Ciencia, Dept Matemat, USACH, Casilla 307,Correo 2, Santiago, Chile

[2] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro,Asa Norte, BR-70910990 Brasilia, DF, Brazil

来源：

MATHEMATISCHE ANNALEN | 2024年 / 388卷 / 02期

关键词：

34K30; 35R10; 34G20; APPROXIMATE CONTROLLABILITY; GLOBAL EXISTENCE; COMPENSATION; INCLUSIONS; STABILITY; SYSTEMS; MODEL;

D O I：

10.1007/s00208-022-02561-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the investigation of the existence of mild solutions of abstract retarded functional differential equations with infinite state-dependent delay. We obtain the result concerning the existence of mild solutions for the equations with state-dependent delays as a fixed point of the solution operator of an associated abstract retarded functional differential equation with time-varying delays. We are concerned with equations that present a phenomenon of lacunary memory. We apply our results to study the existence of solutions of a state-dependent partial differential equation with infinite state-dependent delay.

引用

页码：1817 / 1840

页数：24

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