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Dynamics of a rational system of difference equations in the plane [PDF]

, 2010
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of the system. In
Bajo, Ignacio, Franco, Daniel, Perán, Juan   +2 more
core   +3 more sources

Stability of the Exponential Type System of Stochastic Difference Equations

Mathematics, 2023
The method of studying the stability in the probability for nonlinear systems of stochastic difference equations is demonstrated on two systems with exponential and fractional nonlinearities.
Leonid Shaikhet
doaj   +1 more source

Numerical stability for finite difference approximations of Einstein's equations

, 2006
We extend the notion of numerical stability of finite difference approximations to include hyperbolic systems that are first order in time and second order in space, such as those that appear in Numerical Relativity. By analyzing the symbol of the second
Alcubierre, Anderson, Arnowitt, Baumgarte, Beyer, Bona, Bona, Calabrese, Calabrese, Frittelli, Frittelli, G. Calabrese, Gundlach, Gundlach, Gustafsson, I. Hinder, Kidder, Knapp, Kreiss, Kreiss, Kreiss, Kreiss, Nagy, Richtmyer, S. Husa, Sarbach, Shibata, Szilágyi, Szilágyi, Teukolsky   +29 more
core   +1 more source

Stability Analysis of a System of Exponential Difference Equations

Discrete Dynamics in Nature and Society, 2014
We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: xn+1=(α1+β1e-xn ...
Q. Din, K. A. Khan, A. Nosheen
doaj   +1 more source

Stability of a Class of Nonlinear Difference Equations

Journal of Mathematical Analysis and Applications, 1999
Using KAM theory, the authors investigate the stability nature of the zero equilibrium of the system of two nonlinear difference equations \[ \left.\begin{matrix} x_{n+1}=a_1x_n+b_1y_n+f(c_1x_n+c_2y_n)=F_1(x_n,y_n)\\ y_{n+1}=a_2x_n+b_2y_n+f(c_1x_n+c_2y_n)=F_2(x_n,y_n)\end{matrix} \right\}, \quad n=0,1,\dots, \tag{*} \] \(n=0,1,2,\dots\), where \(a_i ...
Papaschinopoulos, G, Schinas, C.J
openaire   +2 more sources

Hyers–Ulam stability of loxodromic Möbius difference equation [PDF]

Applied Mathematics and Computation, 2019
Hyers-Ulam of the sequence $ \{z_n\}_{n \in \mathbb{N}} $ satisfying the difference equation $ z_{i+1} = g(z_i) $ where $ g(z) = \frac{az + b}{cz + d} $ with complex numbers $ a $, $ b $, $ c $ and $ d $ is defined. Let $ g $ be loxodromic M bius map, that is, $ g $ satisfies that $ ad-bc =1 $ and $a + d \in \mathbb{C} \setminus [-2,2] $.
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On the solutions of some systems of rational difference equations

AIMS Mathematics
In this paper, we considered some systems of rational difference equations of higher order as follows$ \begin{eqnarray*} u_{n+1} & = &\frac{v_{n-6}}{1\pm v_{n}u_{n-1}v_{n-2}u_{n-3}v_{n-4}u_{n-5}v_{n-6}}, \\ v_{n+1} & = &\frac{u_{n-6}}{1 ...
M. T. Alharthi
doaj   +1 more source

A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]

, 1997
The objective of the paper is to present a method, called sequential regularization method (SRM), for the nonstationary incompressible Navier-Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs) , and to ...
Amrouche Chérif, Bayo E., Brenan K., Fortin Michel, Gresho P. M., Sidilkover David, Su Yu   +6 more
core   +2 more sources

CRITERIA FOR STABILITY OF VOLTERRA DIFFERENCE EQUATIONS

Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2020
Summary: Continuous and discrete Volterra-type difference equations arise in many applications. In particular, when studying models of population dynamics, modeling various economic or physical processes, in management theory, and medicine. The paper deals with the problem of asymptotic stability of the zero solution of a linear difference equation of ...
openaire   +3 more sources

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus, Floortje Strobbe, Annemarie A. Verrijn Stuart, Hanneke M. van Santen, Gerlof D. Valk, Sasja A. Schepers, Rachel S. van Leeuwaarde   +6 more
wiley   +1 more source