EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS IN NEUTRAL NONLINEAR SUMMATION-DIFFERENCE SYSTEMS WITH INFINITE DELAY

被引：0

作者：

Guerfi, Abderrahim ^{[1
]}

Ardjouni, Abdelouaheb ^{[2
]}

机构：

[1] Univ Annaba, Fac Sci, Dept Math, Appl Math Lab, Annaba, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, Souk Ahras, Algeria

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 02期

关键词：

Krasnoselskii's theorem; contraction; neutral difference equation; periodic solution; fundamental matrix solution;

D O I：

10.1216/rmj.2021.51.527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Krasnoselskii's fixed point theorem to show that the neutral nonlinear summation-difference system with infinite delay Delta x(n) = P(n) = A(n)x(n) - tau(n)) + Delta Q(n, x(n g(n))) + Sigma(n)(k=-infinity) D D(n, k / f(x)k)) has a periodic solution. We also use the contraction mapping principle to show that the periodic solution is unique. An example is given to illustrate our results.

引用

页码：527 / 537

页数：11