Results 41 to 50 of about 745 (118)

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

Darboux and binary Darboux transformations for discrete integrable systems 1. Discrete potential KdV equation

open access: yes, 2013
The Hirota-Miwa equation can be written in `nonlinear' form in two ways: the discrete KP equation and, by using a compatible continuous variable, the discrete potential KP equation.
Nimmo, Jonathan J C   +2 more
core   +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

Existence of positive solutions for non local p-Laplacian thermistor problems on time scales [PDF]

open access: yes, 2007
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University.
Ammi, M.R.S., Torres, D.F.M.
core   +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

Asymptotically polynomial solutions of difference equations of neutral type

open access: yes, 2014
Asymptotic properties of solutions of difference equation of the form \[ \Delta^m(x_n+u_nx_{n+k})=a_nf(n,x_{\sigma(n)})+b_n \] are studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all ...
Migda, Janusz
core   +1 more source

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