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The Chebyshev Difference Equation [PDF]
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
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On a Max-Type Difference Equation [PDF]
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
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
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Growth of Solutions of Homogeneous Differential–Difference Equations
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
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Complex Differences and Difference Equations [PDF]
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
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On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
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
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On a Max-Type Difference Equation
We prove that every positive solution of the max-type difference equation , converges to where are positive integers, , and .
Gelisken Ali+2 more
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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
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On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences [PDF]
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]
We have investigated the periodical solutions of the system of rational difference equations , and where .
Abdullah Selçuk Kurbanli, Ozan Özkan
openaire +3 more sources