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Dergiler / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 6

Dynamic behavior of a second-order nonlinear rational difference equation

Yasin YAZLIK
Yacine HALIM
Nouressadat TOUAFEK
Sayfa
1004–1018
Yayın Tarihi
2022-11-05
DOI
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This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b k∑−1 j=1 x j nx k−j n−1 + cx k n−1 Axk n + B k∑−1 j=1 x j nx k−j n−1 + Cxk n−1 , k = 3, 4, ..., n = 0, 1, ..., where the parameters a, b , c , A, B , C and the initial values x0 , x−1 are arbitrary positive real numbers

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b k∑−1 j=1 x j nx k−j n−1 + cx k n−1 Axk n + B k∑−1 j=1 x j nx k−j n−1 + Cxk n−1 , k = 3, 4, ..., n = 0, 1, ..., where the parameters a, b , c , A, B , C and the initial values x0 , x−1 are arbitrary positive real numbers
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Temel Bulgular & Veri:This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b k∑−1 j=1 x j nx k−j n−1 + cx k n−1 Axk n + B k∑−1 j=1 x j nx k−j n−1 + Cxk n−1 , k = 3, 4, ..., n = 0, 1, ..., where the parameters a, b , c , A, B , C and the initial values x0 , x−1 are arbitrary positive real numbers
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Sonuç & Katkı:This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b k∑−1 j=1 x j nx k−j n−1 + cx k n−1 Axk n + B k∑−1 j=1 x j nx k−j n−1 + Cxk n−1 , k = 3, 4, ..., n = 0, 1, ..., where the parameters a, b , c , A, B , C and the initial values x0 , x−1 are arbitrary positive real numbers
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b k∑−1 j=1 x j nx k−j n−1 + cx k n−1 Axk n + B k∑−1 j=1 x j nx k−j n−1 + Cxk n−1 , k = 3, 4, ..., n = 0, 1, ..., where the parameters a, b , c , A, B , C and the initial values x0 , x−1 are arbitrary positive real numbers

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Bu Makaleye Atıf Yap

YAZLIK, Y., HALIM, Y., TOUAFEK, N. (2022). Dynamic behavior of a second-order nonlinear rational difference equation. Turkish Journal of Mathematics, Cilt: 39 - Sayı: 6, 1004–1018. https://ajindex.com/articles/608176

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Kaynakça (2)

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