Dynamical behavior of a system of three-dimensional nonlinear difference equations
In this paper, we study the boundedness, persistence, and periodicity of the positive
solutions and the global asymptotic stability of the positive equilibrium points of the system of …
solutions and the global asymptotic stability of the positive equilibrium points of the system of …
The exact solutions of some difference equations associated with adjusted jacobsthal-padovan numbers
M Göcen - Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri …, 2022 - dergipark.org.tr
In this paper, we obtain the form of the solutions of some rational difference equations via
adjusted Jacobsthal-Padovan numbers. We find a relation between the exact solutions and …
adjusted Jacobsthal-Padovan numbers. We find a relation between the exact solutions and …
[PDF][PDF] Qualitative study of a third order rational system of difference equations
M Gümüş, ZR Abo - Mathematica Moravica, 2021 - moravica.ftn.kg.ac.rs
This paper is concerned with the dynamics of positive solutions for a system of rational
difference equations of the following form un+ 1= αu2 n− 1 β+ γvn− 2, vn+ 1= α1v2 n− 1 β1+ …
difference equations of the following form un+ 1= αu2 n− 1 β+ γvn− 2, vn+ 1= α1v2 n− 1 β1+ …
Global dynamics of a higher order difference equation with a quadratic term
E Taşdemir - Journal of Applied Mathematics and Computing, 2021 - Springer
In this paper, we investigate the dynamics of the following higher order difference equation
x_ n+ 1= A+ B x_ n x_ nm^ 2, xn+ 1= A+ B xnxn-m 2, with A, B and initial conditions are …
x_ n+ 1= A+ B x_ n x_ nm^ 2, xn+ 1= A+ B xnxn-m 2, with A, B and initial conditions are …
[PDF][PDF] Global dynamical behaviours and periodicity of a certain quadratic-rational difference equation with delay
Our aim in this paper is to deal with the dynamics of following higher order difference
equation x_ {n+ 1}= A+ B ((x_ {nm})/(x_ {n}^ 2)) where A, B> 0, and initial values are positive …
equation x_ {n+ 1}= A+ B ((x_ {nm})/(x_ {n}^ 2)) where A, B> 0, and initial values are positive …
[PDF][PDF] On the asymptotically periodic solutions of a fifth order difference equation
E Tasdemir - J. Math. Anal, 2019 - ilirias.com
ON THE ASYMPTOTICALLY PERIODIC SOLUTIONS OF A FIFTH ORDER DIFFERENCE
EQUATION 1. Introduction The existence of periodic solution Page 1 Journal of Mathematical …
EQUATION 1. Introduction The existence of periodic solution Page 1 Journal of Mathematical …
Global asymptotic stability of a system of difference equations with quadratic terms
M Abd El-moneam - Communications in Advanced Mathematical …, 2023 - dergipark.org.tr
In this article, we discuss the global asymptotic stability of following system of difference
equations with quadratic terms: x_i+1=\alpha+βy_i-1y_i^2,\quady_i+1=\alpha+βx_i-1x_i^2 …
equations with quadratic terms: x_i+1=\alpha+βy_i-1y_i^2,\quady_i+1=\alpha+βx_i-1x_i^2 …
Form of the solutions of difference equations via Lie symmetry analysis and Fibonacci numbers
M Göcen, M Folly-Gbetoula - Quaestiones Mathematicae, 2024 - Taylor & Francis
Form of the solutions of difference equations via Lie symmetry analysis and Fibonacci
numbers Page 1 Quaestiones Mathematicae 2023: 1–13. This is the final version of the …
numbers Page 1 Quaestiones Mathematicae 2023: 1–13. This is the final version of the …
On the solutions of four second-order nonlinear difference equations
This paper deals with the form, the stability character, the periodicity and the global behavior
of solutions of the following four rational difference equations\[x_ {n+ 1} &=\frac {\pm 1}{x …
of solutions of the following four rational difference equations\[x_ {n+ 1} &=\frac {\pm 1}{x …
General form of the solutions of some difference equations via Lie symmetry analysis
M Folly-Gbetoula, M Göcen, M Güneysu - arXiv preprint arXiv:1910.06880, 2019 - arxiv.org
In this paper, we obtain exact solutions of the following rational difference equation $ x_ {n+
1}=\frac {x_ {n} x_ {n-2} x_ {n-4}}{x_ {n-1} x_ {n-3}(a_ {n}+ b_ {n} x_ {n} x_ {n-2} x_ {n-4})} …
1}=\frac {x_ {n} x_ {n-2} x_ {n-4}}{x_ {n-1} x_ {n-3}(a_ {n}+ b_ {n} x_ {n} x_ {n-2} x_ {n-4})} …