Results 11 to 20 of about 14,780,959 (374)
p-adic difference-difference Lotka-Volterra equation and ultra-discrete limit [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We point out that the structure of the space given by taking the ultra-discrete limit is the same as that of the p-adic valuation space ...
Shigeki Matsutani
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Advances 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
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Note on the binomial partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevo Stevic
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The Beverton-Holt q-difference equation. [PDF]
J Biol Dyn, 2013 The Beverton–Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model.
Bohner M, Chieochan R.
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Existence Results for Nonlinear Fractional Difference Equation
Advances in Difference Equations, 2011 This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained.
Luo Xiannan, Zhou Yong, Chen Fulai
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On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences [PDF]
, 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
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Symmetries of the Hirota Difference Equation [PDF]
, 2017 Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation is presented.
Pogrebkov, Andrei K.
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On a solvable nonlinear difference equation of higher order
Turkish Journal of Mathematics, 2018 In this paper we consider the following higher-order nonlinear difference equation xn = αxn−k + δxn−kxn−(k+l) βxn−(k+l) + γxn−l , n ∈ N0, where k and l are fixed natural numbers, and the parameters α , β , γ , δ and the initial values x−i , i = 1, k + l ,
D. T. Tollu, Y. Yazlık, N. Taskara
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Entwined Paths, Difference Equations and the Dirac Equation [PDF]
, 2002 Entwined space-time paths are bound pairs of trajectories which are traversed in opposite directions with respect to macroscopic time. In this paper we show that ensembles of entwined paths on a discrete space-time lattice are simply described by coupled
E. Nelson +6 more
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On a nonlinear second-order difference equation
Journal of Inequalities and Applications, 2022 We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.
Stevo Stević +3 more
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