Results 51 to 60 of about 1,127 (130)

Dynamics Study and Solutions Expressions of Rational Discrete Systems

Discrete 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

International 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

Nonlinear 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

International 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

International 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

A new result for entire functions and their shifts with two shared values

Open Mathematics
Let ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
doaj   +1 more source

Almost automorphic solutions of discrete delayed neutral system

, 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

Dynamics of a system of rational third-order difference equation

, 2012
In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation xn+1=xn−2B+yn−2yn−1yn,yn+1=yn−2A+xn−2xn−1xn,n=0,1,…, where A,B∈(0,∞), x−2,x−1,x0∈(0,∞); y−2,y−1,y0∈(0,∞).MSC:39A10.
Qianhong Zhang, Li-hui Yang, Jingzhong Liu   +2 more
semanticscholar   +1 more source

Some discrete Poincaré‐type inequalities

International 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

Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities

, 2015
In this paper, we prove some new diamond-alpha dynamic inequalities of Opial type with one and with two weight functions on time scales. These results contain as special cases improvements of results given in the literature, and these improvements are ...
M. Bohner, R. R. Mahmoud, S. Saker
semanticscholar   +1 more source