Results 81 to 90 of about 166,195,107 (213)

The periodic nature and expression on solutions of some rational systems of difference equations

Alexandria Engineering Journal, 2023
E. M. Elsayed, B. S. Alofi
semanticscholar   +1 more source

Solutions to an autonomous discrete KdV equation via Painlevé-type ordinary difference equations [PDF]

Journal of Mathematics and Physics
Hirota’s discrete Korteweg–de Vries (KdV) equation is a well-known integrable two-dimensional partial difference equation regarded as a discrete analogue of the KdV equation.
N. Nakazono
semanticscholar   +1 more source

On the periodicity of the solution of a rational difference equation

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
Summary: In this paper, some cases on the periodicity of the rational difference equation \[S_{n+1} = S_{n-p}\left(\frac{aS_{n-q} + bS_{n-r} +cS_{n-s}}{dS_{n-q}+ eS_{n-r} + fS_{n-s}}\right),\] are investigated, where \(a, b, c, d, e, f\in(0,\infty)\).
Alotaibi, A. M., Noorani, M. S. M., El-moneam, M. A.   +2 more
openaire   +4 more sources

Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]

, 1997
The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
core   +1 more source

Periodic solutions to a difference equation with maximum [PDF]

Proceedings of the American Mathematical Society, 2002
An open problem posed by G. Ladas is to investigate the difference equation \[ x n
openaire   +2 more sources

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

Existence of Periodic Solutions for a Delayed Ratio-Dependent Three-Species Predator-Prey Diffusion System on Time Scales

Advances in Difference Equations, 2009
This paper investigates the existence of periodic solutions of a ratio-dependent predator-prey diffusion system with Michaelis-Menten functional responses and time delays in a two-patch environment on time scales. By using a continuation theorem based on
Zhenjie Liu
doaj   +1 more source

On periodic solutions of a class of k-dimensional systems of max-type difference equations

, 2016
Some sufficient conditions are given such that the following system of difference equations: x(1)(n+1)=max1≤j≤l1{f1j(n,x(1)(n),…,x(k)(n))},x(2)(n+1)=max1≤j≤l2{f2j(n,x(1)(n),…,x(k)(n))},⋮x(k)(n+1)=max1≤j≤lk{fkj(n,x(1)(n),…,x(k)(n))}, $$\begin{aligned} &x^{
S. Stević
semanticscholar   +1 more source

Stability calculations for piecewise-smooth delay equations [PDF]

, 2008
This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using ...
Barton, DAW
core   +1 more source

Fifth-Order Max-Type Fuzzy Difference Equations: Existence, Periodicity, Boundedness, and Persistence

Mathematics
Max-type fuzzy difference equations constitute an emerging research area arising from the integration of fuzzy mathematics and discrete dynamical systems.
Tao Yang, Lirong Ma, Run Yang, Changyou Wang   +3 more
doaj   +1 more source