Dichotomy of a perturbed Lyness difference equation

DOI10.1016/j.amc.2014.03.078zbMath1334.39043OpenAlexW2062227485MaRDI QIDQ273281

Guifeng Deng, Xianyi Li

Publication date: 21 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.078

zbMATH Keywords

Lyapunov functionglobal asymptotic stabilityfirst integraldichotomyperturbed Lyness equation

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items (1)

Dichotomy between a generalized Lyness difference equation with period-two coefficients and its perturbation

Cites Work

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• On global asymptotic stability of nonlinear higher-order difference equations
• New discrete Halanay-type inequalities and applications
• Global dynamics in a commodity market model
• On some algebraic difference equations \(u_{n+2} u_{n}= \psi(u_{n+1})\) in \(\mathbb R_*^+\), related to families of conics or cubics: generalization of the Lyness' sequences
• Global stability of periodic orbits of non-autonomous difference equations and population biology
• Zeeman's monotonicity conjecture
• Global asymptotic stability for two recursive difference equations.
• Periodicity and strict oscillation for generalized Lyness equations
• Invariants and related Liapunov functions for difference equations
• Some invariants for \(k\)th-order Lyness equation.
• Global Behavior of the Solutions of Lyness' Difference Equation
• Global Asymptotic Stability in a Rational Equation*

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