Existence and uniqueness of continuous solutions for iterative functional differential equations in Banach algebras

被引：2

作者：

Amara, Khaled Ben ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

TURKISH JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 03期

关键词：

Banach algebras; continuous solutions; fixed point theory; iterative differential equation; THEOREM;

D O I：

10.55730/1300-0098.3527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to studying the existence and uniqueness of continuous solutions of the following iterative functional differential equation {d/dt (x(t) - h (t, x([1])(t),..., x([n])(t))/f (t, x([1])(t),..., x([n])(t)) = g (t, x([1])(t),..., x([n])(t)), t is an element of J, x(0) = x(0). By using of Boyd-Wong's fixed point theorem and under suitable conditions, we establish the existence and uniqueness of a continuous solution.

引用

页码：594 / 607

页数：15

共 21 条

[1] An existence theorem for a class of infinite systems of integral equations [J].