STABILITY OF NONLINEAR NEUTRAL MIXED TYPE LIVEN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS

被引：0

作者：

Bessioud, Karima ^{[1
]}

Ardjouni, Abdelouaheb ^{[1
]}

Djoudi, Ahcene ^{[2
]}

机构：

[1] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras, Algeria

[2] Univ Annaba, Dept Math, POB 12, Annaba, Algeria

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 05期

关键词：

Asymptotic stability; contraction mapping theorem; neutral integro-differential equations; mixed type; FUNCTIONAL-DIFFERENTIAL EQUATIONS; FIXED-POINTS; ASYMPTOTIC-BEHAVIOR; THEOREM;

D O I：

10.46793/KgJMat2205.721B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the contraction mapping theorem to obtain as-ymptotic stability results about the zero solution for a nonlinear neutral mixed type Levin-Nohel integro-differential equation. An asymptotic stability theorem with a necessary and sufficient condition is proved. An example is also given to illustrate our main results.

引用

页码：721 / 732

页数：12

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