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On a solvable system of difference equations of fourth order

Applied Mathematics and Computation, 2013
It is shown that the next system of k difference equationsx"n^(^j^)=a"n^(^j^)x"n"-"k^(^j^)b"n^(^j^)@?"i"="1^kx"n"-"i^(^@s^(^j^+^i^-^1^)^)+c"n^(^j^),n@?N"0,j=1,k@?,where a"n^(^j^),b"n^(^j^),c"n^(^j^),n@?N"0,j=1,k@?, and initial values x"-"i^(^j^),i,j@?{1,...,k}, are real numbers, and where @s:N->{1,...,k} is defined by @s(km+j)=j+1,j=1,k-1@?,@s(km+k)=1,
openaire   +1 more source

ON A SOLVABLE DIFFERENCE EQUATION WITH SEQUENCE COEFFICIENTS

Advances and Applications in Discrete Mathematics, 2022
Gelişken, Ali, Karataş, Ramazan
openaire   +1 more source

A solvable system of nonlinear difference equations

2020
In this paper, we show that the following systems of nonlinear difference equationsx_{n+1}=((x_{n}y_{n}+a)/(x_{n}+y_{n})),y_{n+1}=((y_{n}z_{n}+a)/(y_{n}+z_{n})),z_{n+1}=((z_{n}x_{n}+a)/(z_{n}+x_{n})) for n∈ℕ₀where a∈[0,∞) and the initial values x₀, y₀, z₀ are real numbers, can be solved in explicit form.
ŞAHİNKAYA, Abdullah   +2 more
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On a solvable four-dimensional system of difference equations

Mathematica Slovaca
Abstract In this paper we show that the following four-dimensional system of difference equations
Erdem, İbrahim, Yazlik, Yasin
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Solvability of a class of nonlinear system of difference equations with homogeneity

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A detailed study on a solvable system related to the linear fractional difference equation

Mathematical Biosciences and Engineering, 2021
Shao-Wen Yao, Hijaz Ahmad
exaly  

On a class of systems of rational second‐order difference equations solvable in closed form

Mathematical Methods in the Applied Sciences, 2020
Stevo Stevic
exaly  

General k-Dimensional Solvable Systems of Difference Equations

Symmetry, 2018
Stevo Stevic, Stevic Stevo
exaly  

Exactly Solvable Schrödinger Equation with Hypergeometric Wavefunctions

Journal of Applied Mathematics and Physics, 2015
J García-Ravelo, J J Pena
exaly  

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