Global attractivity in a nonlinear difference equation

From MaRDI portal
Publication:1332376

DOI10.1016/0096-3003(94)90086-8zbMath0817.39005OpenAlexW1994842043MaRDI QIDQ1332376

Ch. G. Philos, Y. G. Sficas, Ioannis K. Purnaras

Publication date: 1 August 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90086-8



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (31)

On the boundedness character of rational equations, part 3Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\)A Difference Equation Arising from Logistic Population GrowthOpen Problems and ConjecturesBoundedness and persistence and global asymptotic stability for a class of delay difference equations with higher orderNecessary and sufficient conditions for boundedness and stability of \(N\)-order difference equationOn the recursive sequence \(x_{n+1} = \frac{\alpha+\beta x_{n}+\gamma x_{n-1}} {Bx_{n}+Cx_{n-1}}\)The global attractivity of difference equations of nonincreasing nonlinearities with applications.On the system of two difference equations \[ x _{n+1}=\sum _{i=0} ^{k} A _{i}/y _{n-i} ^{p_{i}},\quad y _{n+1}=\sum _{i=0} ^{k} B _{i}/x _{n-i} ^{q_{i}}. \] ⋮ Open Problems and ConjecturesGlobal convergence in periodically forced rational equationsOn the recursive sequenceNecessary and sufficient conditions for the boundedness ofOn the difference equation \(x_{n+1}=\sum_{j=0}^{k}a_{j}f_{j}(x_{n - j})\)On the recursive sequence \(x_{n+1}=A/x^p_n+B/x^q_{n-1}+C/x^s_{n-2}\)On second-order rational difference equations, part 1On first order fuzzy Riccati difference equationOn second-order rational difference equations, Part 2Asymptotic stability for difference equations with decreasing argumentsOn the difference equationOn third-order rational difference equations, part 1A note: Every homogeneous difference equation of degree one admits a reduction in orderOn a system of two nonlinear difference equationsGlobal stability of \(x_{n+1}= A/x_n^p+ 1/x_{n-1}^{1/p}\)The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjecturesGlobal behavior of solutions of a nonlinear second-order difference equationOn the new solutions to the fuzzy difference equation \(x_{n + 1} = A + \frac{B}{x_n}\)Unnamed ItemWhen does periodicity destroy boundedness in rational equations?On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)A Note on the Difference Equation x n +1 = ∑ i =0 k α i x n − i p i



Cites Work


This page was built for publication: Global attractivity in a nonlinear difference equation