Results 51 to 60 of about 2,243,156 (179)

Theory of linear G-difference equations [PDF]

, 1997
We introduce the notion of difference equation defined on a structured set. The symmetry group of the structure determines the set of difference operators.
Jakobsen, Per K., Lychagin, Valentin V.
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Three-Dimensional Second-Order Rational Difference Equations: Explicit Formulas and Simulations

Mathematics
This paper studies a three-dimensional second-order rational difference system, which generalizes earlier scalar and bidimensional models. We derive explicit closed-form solutions for general initial conditions and identify special cases that simplify ...
Ahmed Ghezal, Hassan J. Al Salman, Ahmed A. Al Ghafli   +2 more
doaj   +1 more source

The Form of the Solutions of System of Rational Difference Equation

Journal of Mathematical Sciences and Modelling, 2018
In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
E. M. Elsayed, Marwa M. Alzubaidi
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Qualitative Behavior of the Solutions to Delay and Difference Equations

Вестник КазНУ. Серия математика, механика, информатика, 2018
It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
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$\tau$-Functions, Birkhoff Factorizations and Difference Equations

, 2019
$Q$-systems and $T$-systems are systems of integrable difference equations that have recently attracted much attention, and have wide applications in representation theory and statistical mechanics.
Addabbo, Darlayne, Bergvelt, Maarten
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Stochastic difference equations with the Allee effect

, 2016
For a truncated stochastically perturbed equation $x_{n+1}=\max\{ f(x_n)+l\chi_{n+1}, 0 \}$ with $f(x)f(H)>m$. As the amplitude grows, an interval $(m-\varepsilon, m+\delta)$ of initial values arises and expands, such that with a certain probability ...
Braverman, Elena, Rodkina, Alexandra
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When is negativity not a problem for the ultra-discrete limit?

, 2006
The `ultra-discrete limit' has provided a link between integrable difference equations and cellular automata displaying soliton like solutions. In particular, this procedure generally turns strictly positive solutions of algebraic difference equations ...
Alex Kasman, Hazewinkel M., Stéphane Lafortune   +2 more
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Partial difference equations arising from the Cauchy-Riemann equations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006
We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
doaj  

Lie point symmetries of difference equations and lattices

, 2007
A method is presented for finding the Lie point symmetry transformations acting simultaneously on difference equations and lattices, while leaving the solution set of the corresponding difference scheme invariant.
Ames W F, Bakirova M, Bluman G W, Clarkson P A, D Levi, Dorodnitsyn V, Dorodnitsyn V, Dorodnitsyn V, Dorodnitsyn V, Dorodnitsyn V, Dorodnitsyn V, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Floreanini R, Gaeta G, Hernández Heredero R, Hernández Heredero R, Ibragimov N H, Lafortune S, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Lie S, Lie S, Maeda S, Olver P J, Ovsiannikov L V, P Winternitz, S Tremblay, Winternitz P   +33 more
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On projective systems of rational difference equations [PDF]

, 2011
We discuss first order systems of rational difference equations which have the property that lines through the origin are mapped into lines through the origin.
Palladino, Frank J.
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