On Some Fractional Systems of Difference Equations
author
Abstract:
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
similar resources
On Some Solvable Difference Equations and Systems of Difference Equations
AND APPLIED ANALYSIS, Vol. 2012, No. Article ID 54176, pp. 1-11, Nov, 2012 References: Abstract: Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
full textOn Some Difference Equations
Asymptotic properties of some non-linear difference equations are considered. AMS(1980) Subject Classification: 39A12, 45E99..
full textOn the Stability of Some Systems of Exponential Difference Equations
In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model. The stability of these systems is investigated in the special case when one of the eigenvalues is equal to -1 and the other eigenvalue has absolute value less than 1, using centre manifold theory. In addition, w...
full textOn a solvable for some systems of rational difference equations
In this paper, we study the existence of solutions for a class of rational systems of difference equations of order four in four-dimensional case xn+1 = xn−3 ±1±tnzn−1yn−2xn−3 , yn+1 = yn−3 ±1±xntn−1zn−2yn−3 , zn+1 = zn−3 ±1±ynxn−1tn−2zn−3 , tn+1 = tn−3 ±1±znyn−1xn−2tn−3 with the initial conditions are real numbers. Also, we study some behavior such as the periodicity and boundedness of solutio...
full textOn Some k-Dimensional Cyclic Systems of Difference Equations
and Applied Analysis 3 Proof. The results follow directly from the following fact: F(x, y) y 1 − y 2r xr yr x 1 − x2r xr yr . 2.1 For simplicity, systems 1.2 and 1.3 can be respectively rewritten in the following forms: z i n F ( z i n−l, z θ i 1 n−m ) , i 1, 2, . . . , k, n ∈ N0, 2.2 z i n 1 F ( z i n−p, z θ i 1 n−q ) , i 1, 2, . . . , k, n ∈ N0. 2.3 Lemma 2.2. Denote a transformation ŷ ⎧ ⎪⎨ ⎪...
full textOn Some Rational Difference Equations
We extend and give short proofs of some recent results regarding some classes of rational difference equations.
full textMy Resources
Journal title
volume 9 issue None
pages 73- 86
publication date 2014-11
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023