Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations

被引：0

作者：

Aljoufi, Lama Sh. ^{[1
]}

Al Mohammady, Samir ^{[1
,2
]}

Ahmed, A. M. ^{[3
]}

机构：

[1] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Jouf, Saudi Arabia

[2] Helwan Univ, Fac Sci, Dept Math, Helwan 11795, Egypt

[3] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 28卷 / 03期

关键词：

Recursive sequence; oscillation; semicycles; stability; periodicity; solutions of difference equations; POSITIVE SOLUTIONS; X(N+1);

D O I：

10.22436/jmcs.028.03.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to obtain the forms of the solutions of the following nonlinear eighteenth-order difference equations x(n+1) = x(n-17)/+/- 1 +/- x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17), n = 0, 1, 2, ... , where the initial conditions x(-17), x(-16), ... , x(0) are arbitrary real numbers. Moreover, we investigate stability, boundedness, oscillation, and the periodic character of these solutions. Finally, we confirm the results with some numerical examples and graphs by using Matlab program.

引用

页码：258 / 269

页数：12

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