Results 11 to 20 of about 13,830,771 (328)
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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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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Some representations of the general solution to a difference equation of additive type
Advances in Difference Equations, 2019 The general solution to the difference equation xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0, $$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$ where a,b,c∈C $a, b, c\in\mathbb{C}$, d∈
Stevo Stević
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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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A rational difference equation
Computers & Mathematics with Applications, 2001 AbstractWe investigate the boundedness character, the periodic nature, and the global asymptotic stability of all positive solutions of the equation in the title with positive parameters and nonnegative initial conditions.
Kulenović, M. R.S. +2 more
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The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
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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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C-Integrability Test for Discrete Equations via Multiple Scale Expansions [PDF]
, 2010 In this paper we are extending the well known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example we apply the theory to the case of a differential-difference dispersive equation of
Levi, Decio, Scimiterna, Christian
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Dynamics of a Rational Difference Equation
Advances in Difference Equations, 2010 The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation xn+1=(α+βxn+γxn-k)/(1+xn-k), n∈ℕ0, where the parameters
Wan-Tong Li, Lin-Xia Hu, Xiu-Mei Jia
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