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The Chebyshev Difference Equation [PDF]

open access: yesMathematics, 2020
We define and investigate a new class of difference equations related to the classical Chebyshev differential equations of the first and second kind.
Tom Cuchta   +2 more
doaj   +2 more sources

On a Max-Type Difference Equation [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2007
We study the behaviour of the solutions of the following difference equation with the max operator: xn+1=max{1/xn,Axn−1}, n∈ℕ0, where parameter A∈ℝ and initial values x−1 and x0 are nonzero real numbers.
I. Yalçinkaya   +2 more
doaj   +6 more sources

Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation

open access: yesAdvances in Difference Equations, 2017
We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n )
Stevo Stević
doaj   +2 more sources

Growth of Solutions of Homogeneous Differential–Difference Equations

open access: yesComputer Sciences & Mathematics Forum, 2023
In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of ...
Hakima Lassal, Benharrat Belaϊdi
doaj   +1 more source

Complex Differences and Difference Equations [PDF]

open access: yesAbstract and Applied Analysis, 2014
In more recent years, activity in the area of the complex differences and the complex difference equations has fleetly increased. This journal has set up a column of this special issue. We were pleased to invite the interested authors to contribute their original research papers as well as good expository papers to this special issue that will make ...
Chen, Zong-Xuan   +2 more
openaire   +3 more sources

On Some Solvable Difference Equations and Systems of Difference Equations [PDF]

open access: yesAbstract and Applied Analysis, 2012
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.
Stević, Stevo   +3 more
openaire   +3 more sources

On a Max-Type Difference Equation

open access: yesAdvances in Difference Equations, 2010
We prove that every positive solution of the max-type difference equation , converges to where are positive integers, , and .
Gelisken Ali   +2 more
doaj   +2 more sources

Parametrical identification of the special equation Ricatti on the basis of stochastic difference equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008
Construction stochastic difference equations connecting results of supervision of instant values of dynamic processes described by special equation Ricatti, is considered.
A. S. Ovsienko   +1 more
doaj   +1 more source

On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences [PDF]

open access: yes, 2016
This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation xn+1=αβ+γxn−k;n∈N0, where N0=N∪0,α,β,γ,∈R∗+ and the initial values x−k,x−k + 1,…,x0 are nonzero real numbers, such that their solutions are ...
Yacine Halim, M. Bayram
semanticscholar   +1 more source

On a System of Difference Equations [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2013
We have investigated the periodical solutions of the system of rational difference equations , and where .
Abdullah Selçuk Kurbanli, Ozan Özkan
openaire   +3 more sources

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