Results 1 to 10 of about 3,599,122 (270)
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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Growth of Solutions of Homogeneous Differential–Difference Equations
Computer 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
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The Chebyshev Difference Equation
Mathematics, 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
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On a Max-Type Difference Equation
Advances in Difference Equations, 2010 We prove that every positive solution of the max-type difference equation xn=max{A/xn-pα,B/xn-kβ}, n=0,1,2,… converges to x¯=max{A1/(1+α),B1/(1+β)} where p,k are positive integers, 0<
Ibrahim Yalcinkaya +2 more
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Vestnik 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
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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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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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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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Difference–Differential Equations [PDF]
Nature, 1948 THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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