Results and problems about solutions of perturbed Lyness' type orderkdifference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method
From MaRDI portal
Publication:2846810
DOI10.1080/10236198.2012.748758zbMath1277.39017OpenAlexW2105095429MaRDI QIDQ2846810
Publication date: 3 September 2013
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2012.748758
Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)
Related Items (3)
Global stability and bifurcations of perturbed Gumowski–Mira difference equation ⋮ Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations ⋮ Global asymptotic stability of a generalization of the Pielou difference equation
Cites Work
- 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
- Zeeman's monotonicity conjecture
- The global attractivity of difference equations of nonincreasing nonlinearities with applications.
- On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
- Global attractivity of the equilibrium of a difference equation: An elementary proof assisted by computer algebra system
- Some properties of thek-dimensional Lyness' map
- On the characterization of rational difference equations
- Global Behavior of the Solutions of Lyness' Difference Equation
- Dynamics of the third order Lyness' difference equation
This page was built for publication: Results and problems about solutions of perturbed Lyness' type orderkdifference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method
