Characteristics of solutions of nonlinear neutral integro-differential equation via Chandrasekhar integral

被引：3

作者：

Hashem, H. H. G. ^{[1
,2
]}

Alrashidi, Hessah O. ^{[2
]}

机构：

[1] Alexandria Univ, Fac Sci, Alexandria, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2022年 / 24卷 / 02期

关键词：

Neutral differential equation; Kransnoselskii theorem; continuous dependence; estimate upper and lower bounds for solutions; DIFFERENTIAL-EQUATION; GLOBAL ATTRACTIVITY; EXISTENCE; DELAY; SOLVABILITY;

D O I：

10.22436/jmcs.024.02.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we shall study the existence of at least one continuous solution for a nonlinear neutral differential equation via Chandrasekhar integral. Next, continuous dependence of the solution of that equation on the delay functions will be studied. Also, we use Kransnoselskii theorem to prove the existence of solutions and estimate upper and lower bounds for solutions defined in unbounded interval. Some particular cases and remarks are presented to illustrate our results.

引用

页码：173 / 185

页数：13

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