Boundedness Character of the System of Recursive Difference Equations-Reference-Cited by-同舟云学术

Boundedness Character of the System of Recursive Difference Equations

Published:2024-06-30 Issue:1 Volume:16 Page:70-77
ISSN:2148-1830
Container-title:Turkish Journal of Mathematics and Computer Science
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Author:

Coskun Nimet¹^ORCID,Gelişken Ali²^ORCID,Yokuş Nihal³^ORCID

Affiliation:

1. KARAMANOĞLU MEHMETBEY ÜNİVERSİTESİ

2. KONYA TEKNİK ÜNİVERSİTESİ

3. SELÇUK ÜNİVERSİTESİ

Abstract

In this paper, we take into consideration the boundedness character of positive solutions of the difference system $x_{n}=\alpha +\prod \limits_{i=1}^{k}y_{n-i}^{a_{i}} $ $y_{n}=\beta +\prod \limits_{i=1}^{k}x_{n-i}^{b_{i}},$ where $a_{i},b_{i}\in \mathbb{R}$, $i=\overline{1,k},$ $a_{k}\neq 0,$ $b_{k}\neq 0$ and $\alpha $ and $\beta $ are nonnegative real numbers.

Publisher

Turkish Journal of Mathematics and Computer Science, Association of Mathematicians

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