Results 41 to 50 of about 723 (99)

Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations

open access: yes, 2013
We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of such matrix functions, that a good coordinate system on this space is given ...
Anton Dzhamay   +8 more
core   +1 more source

Global attractivity in a genotype selection model

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002
We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
wiley   +1 more source

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

open access: yesAbstract and Applied Analysis
MSC2020 Classification:03E72, 39A10 ...
Najmeddine Attia, Ahmed Ghezal
doaj   +1 more source

Dynamics Study and Solutions Expressions of Rational Discrete Systems

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This article goal is to study the qualitative behaviors for the following rational difference systems Un+1 = d1Un−1 + a1Vn−5Un−1/b1 + e1Vn−5 + Vn−3(s1 + c1Vn−5VnUn−4Un−1), Vn+1 = d2Vn−1 + a2Un−5Vn−1/b2 + e2Un−5 + Un−3(s2 + c2Un−5UnVn−4Vn−1), namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive ...
B. S. Alofi, Ahmed Ezzat Matouk
wiley   +1 more source

Asymptotic behavior of the solutions of a discrete reaction‐diffusion equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 257-264, 2002., 2002
By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction‐diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.
Rigoberto Medina, Sui Sun Cheng
wiley   +1 more source

An analytical method with Padé technique for solving of variational problems

open access: yesNonlinear Engineering, 2017
In this paper, the homotopy analysis method (HAM) is employed to solve a class of variational problems (VPs). By using the so-called ħ-curves, we determine the convergence parameter ħ, which plays key role to control convergence of solution series.
Jaffarian H., Sayevand K., Kumar Sunil
doaj   +1 more source

Estimates for the norms of solutions of delay difference systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 697-703, 2002., 2002
We derive explicit stability conditions for delay difference equations in ℂn (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, which model diffusion and reaction processes, are given.
Rigoberto Medina
wiley   +1 more source

Global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 175-182, 2001., 2001
We consider the global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations.
Denghua Cheng, Jurang Yan
wiley   +1 more source

Some discrete Poincaré‐type inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001
Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
wiley   +1 more source

Almost automorphic solutions of discrete delayed neutral system

open access: yes, 2015
We study almost automorphic solutions of the discrete delayed neutral dynamic system% \[ x(t+1)=A(t)x(t)+\Delta Q(t,x(t-g(t)))+G(t,x(t),x(t-g(t))) \] by means of a fixed point theorem due to Krasnoselskii.
Adıvar, Murat, Koyuncuoglu, H. Can
core   +1 more source

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