On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
From MaRDI portal
Publication:1290975
DOI10.1006/jmaa.1999.6346zbMath0962.39004OpenAlexW2076507348MaRDI QIDQ1290975
D. A. Georgiou, A. M. Amleh, E. A. Grove, Gerasimos E. Ladas
Publication date: 20 June 2001
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6346
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (only showing first 100 items - show all)
A Darboux-type Theory of Integrability for Discrete Dynamical Systems ⋮ On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n ) ⋮ On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(4k+3\right)}}{1+\prod_{t=0}^2{x}_{n-\left(k+1\right)t-k}} \) ⋮ Unnamed Item ⋮ On the Global Character of the Difference Equation Xn+ 1= ⋮ Solutions of the rational difference equations xn+1=xn−111+xn−2xn−5xn−8 ⋮ Global Asymptotic Stability in a Rational Equation* ⋮ Periodic Character of a Class of Difference Equation ⋮ On the Behavior of Solutions ofxn+1=p+(xn−1/xn) ⋮ On the Dynamics of with a Period-two Coefficient ⋮ Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11 ⋮ On the recursive sequence xn+1 = xn-7/1+xn-3 ⋮ Unnamed Item ⋮ On the Trichotomy Character of ⋮ On a system of difference equations defined by the product of separable homogeneous functions ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Qualitative analysis of second-order fuzzy difference equation with quadratic term ⋮ Unnamed Item ⋮ Solution of the rational difference equation \(x_{n + 1} = \frac{x_{n-13}} {1+x_{n-1}x_{n-3}x_{n-5}x_{n-7}x_{n-9}x_{n-11}}\) ⋮ Unnamed Item ⋮ Global behavior of solutions of the nonlinear difference equation ⋮ Unnamed Item ⋮ New basins of attraction of two recursive sequences ⋮ On the Recursive Sequence ⋮ Open problems and conjectures ⋮ Progress Report on Rational Difference Equations ⋮ Convergence to periodic solutions ⋮ On the basin of attraction of the two cycle of the difference equation ⋮ The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝} ⋮ On second-order rational difference equations, part 1 ⋮ Unnamed Item ⋮ A rational difference equation ⋮ On a (k+1)-th order difference equation with a coefficient of periodk+1 ⋮ On second-order rational difference equations, Part 2 ⋮ INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE ⋮ On the Recursive Sequencexn+1=α+ (βxn−1)/(1 +g(xn)) ⋮ On solutions of the nonlinear difference equation ⋮ On a difference equation with 3-periodic coefficient ⋮ On globally attracting two-cycles of second order difference equations ⋮ On third-order rational difference equations, part 1 ⋮ Unnamed Item ⋮ Short Note: On non-oscillatory solutions of the recursive sequence ⋮ On periodic trichotomies ⋮ The periodic character of a class of difference equation ⋮ On a cyclic system of difference equations ⋮ On the Recursive Sequencexn+1= ⋮ Boundedness character of two classes of third-order difference equations(1 ⋮ A note on the geometry of invariants ⋮ Unnamed Item ⋮ The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$ ⋮ The behaviour of the positive solutions of the difference equation ⋮ Global behavior for a fourth-order rational difference equation ⋮ Global asymptotic stability of a higher order nonlinear difference equation ⋮ On the recursive sequence \(y_{n+1} = \frac {\alpha+y_{n-1}}{\beta+y_{n}} + \frac {y_{n-1}}{y_{n}}\) ⋮ Existence of solutions with a single semicycle for a general second-order rational difference equation ⋮ Asymptotic behavior of a new class of nonlinear rational difference equations ⋮ Dynamic behavior of a recursive sequence ⋮ On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\) ⋮ On the rational recursive sequence \(x_{n+1}=\frac {\alpha x_n+\beta x_{n-1}+\gamma x_{n-2}+\delta x_{n-3}} {Ax_b+ Bx_{n-1}+ Cx_{n-2}+ Dx_{n-3}}\) ⋮ Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\) ⋮ Global asymptotic stability for a higher order nonlinear rational difference equations ⋮ On a nonautonomous difference equation with bounded coefficient ⋮ The difference equation \(x_{n+1}=\alpha + \frac {x_{n-k}}{\Sigma_{i=0}^{k-1} c_{i}x_{n-i}}\) has solutions converging to zero ⋮ On a class of second-order nonlinear difference equation ⋮ Dynamics of \(x_{n+1}=\frac{x_{n-2k+1}}{x_{n-22k+1}+\alpha x_{n-2l}}\) ⋮ Dynamics of a family of nonlinear delay difference equations ⋮ Dynamics of a family of two-dimensional difference systems ⋮ On a class of higher-order difference equations ⋮ Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\) ⋮ Dynamics of non-autonomous difference equation ⋮ On the dynamics of the recursive sequence \(x_{n+1} = \alpha + x^p_{n-k}/x^q_n\) ⋮ Local stability of period two cycles of second order rational difference equation ⋮ Stability and periodic character of a third order difference equation ⋮ On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\) ⋮ On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients ⋮ On the invariant manifolds of the fixed point of a second-order nonlinear difference equation ⋮ On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\) ⋮ On the recursive sequence \(x_{n+1} = \frac{\alpha+\beta x_{n}+\gamma x_{n-1}} {Bx_{n}+Cx_{n-1}}\) ⋮ The periodicity of positive solutions of the nonlinear difference equation \(x_{n+1} = \alpha + (x^p_{n-k})/(x^q_n)\) ⋮ Trichotomy of a system of two difference equations. ⋮ Dynamical properties in a fourth-order nonlinear difference equation ⋮ On a higher-order nonlinear difference equation ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\) ⋮ Global asymptotic stability for two recursive difference equations. ⋮ On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\) ⋮ Dynamical behavior of a system of third-order rational difference equation ⋮ On the system of high order rational difference equations ⋮ On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\). ⋮ On the dynamics of a higher-order rational difference equation ⋮ The periodicity and solutions of the rational difference equation with periodic coefficients ⋮ About the properties of a modified generalized Beverton-Holt equation in ecology models ⋮ Dynamical properties for a class of fourth-order nonlinear difference equations ⋮ Stability of equilibrium points of fractional difference equations with stochastic perturbations ⋮ The behavior of positive solutions of a nonlinear second-order difference equation ⋮ Some discussions on the difference equation \(x_{n + 1} = \alpha +(x_{n - 1}^m / x_n^k)\) ⋮ New method to obtain periodic solutions of period two and three of a rational difference equation ⋮ Dynamics of a higher order rational difference equation ⋮ Some results about the global attractivity of bounded solutions of difference equations with applications to periodic solutions ⋮ About the stability and positivity of a class of discrete nonlinear systems of difference equations
Cites Work
This page was built for publication: On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)