Results 11 to 20 of about 176 (125)

The Semicycles of Solutions of Neutral Difference Equations

Applied Mathematics Letters, 2000
The authors study the semicycles of solutions to the neutral delay difference equation \[ \Delta(y_n+ p_ny_{n-\tau}) +q_ny_{n-\sigma} =0. \] Here \(\{p_n\}\) and \(\{q_n\}\) are sequences of nonnegative real numbers, \(\tau\) and \(\sigma\) are positive integers. Upper bounds on the number of terms of semicycles are determined.
Yong Zhou, B G Zhang
exaly   +4 more sources

An Estimate of Numbers of Terms of Semicycles of Delay Difference Equations

Computers and Mathematics With Applications, 2001
The authors study the delay difference equation \[ y_{n+1}-y_n+p_ny_{n-k}=0,\tag{*} \] where \(\{p_n\}\) is a sequence of nonnegative real numbers and \(k\) is a positive integer. The main purpose of the paper is to determine an upper bound of number of terms of semicycles of solutions of (*) under the condition \[ \sum_{n=n_0}^\infty p_n\left(\left ...
Yong Zhou, B G Zhang
exaly   +4 more sources

Semicycles of Solutions of Nonlinear Difference Equations With Several Delays

Computers and Mathematics With Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou, B G Zhang
exaly   +4 more sources

Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations [PDF]

Advances in Difference Equations, 2008
We consider the dynamical properties for a kind of fourth-order rational difference equations. The key is for us to find that the successive lengths of positive and negative semicycles for nontrivial solutions of this equation periodically occur with ...
Li Xianyi, Li Dongsheng, Li Pingping
doaj   +5 more sources

Polarization and multiscale structural balance in signed networks [PDF]

Communications Physics, 2023
Polarization, or a division into mutually hostile groups, is a common feature of social systems. It is studied in Structural Balance Theory in terms of semicycles in signed networks.
Szymon Talaga, Massimo Stella, Trevor James Swanson, Andreia Sofia Teixeira   +3 more
doaj   +2 more sources

On Functions Which Sum to Zero on Semicycles [PDF]

Applicationes Mathematicae, 1987
Jerzy Topp
exaly   +5 more sources

Dynamics of a Rational Difference Equation [PDF]

Advances in Difference Equations, 2010
The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation xn+1=(α+βxn+γxn-k)/(1+xn-k), n∈ℕ0, where the parameters
Wan-Tong Li, Lin-Xia Hu, Xiu-Mei Jia
doaj   +4 more sources

Dynamical Properties in a Fourth-Order Nonlinear Difference Equation [PDF]

Advances in Difference Equations, 2010
The rule of trajectory structure for fourth-order nonlinear difference equation xn+1=(xan−2+xn−3)/(xan−2xn−3+1), n=0,1,2,…, where a∈[0,1) and the initial values x−3,x−2,x−1,x0∈[0 ...
Xianyi Li, Yunxin Chen
doaj   +4 more sources

Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation

Discrete Dynamics in Nature and Society, 2021
In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.
A. Q. Khan, H. El-Metwally
openaire   +4 more sources

Global Asymptotic Stability for a Fourth-Order Rational Difference Equation [PDF]

Discrete Dynamics in Nature and Society, 2009
Our aim is to investigate the global behavior of the following fourth-order rational difference equation: 𝑥𝑛+1=(𝑥𝑛𝑥𝑛−2𝑥𝑛−3+𝑥𝑛+𝑥𝑛−2+𝑥𝑛−3+𝑎)/(𝑥𝑛𝑥𝑛−2+𝑥𝑛𝑥𝑛−3+𝑥𝑛−2𝑥𝑛−3+1+𝑎), 𝑛=0,1,2,… where 𝑎∈[0,∞) and the initial values
Meseret Tuba Gülpinar, Mustafa Bayram
doaj   +2 more sources