Abstract neutral differential equations with state-dependent delay and almost sectorial operators

被引：0

作者：

Jaiswal, Anjali ^{[1
]}

Tyagi, Jagmohan ^{[1
]}

机构：

[1] Indian Inst Technol Gandhinagar, Dept Math, Gandhinagar, Gujarat, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 14期

关键词：

almost sectorial operator; Cauchy problem; classical solution; fixed-point theorem; mild solution; state-dependent delay; well-posedness; EXISTENCE; UNIQUENESS; WELLPOSEDNESS; DYNAMICS; MODEL;

D O I：

10.1002/mma.9388

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence and uniqueness of mild solutions of a first-order neutral differential equation with state-dependent delay and almost sectorial operator by using the theory of almost sectorial operators and fixed point theorems and show that under certain conditions mild solution becomes the classical solution. Later, we also discuss the local well-posedness of the associated Cauchy problem.

引用

页码：15458 / 15480

页数：23

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