On a homoclinic point of an autonomous second-order difference equation

DOI10.1080/10236190903257834zbMath1226.39001OpenAlexW2045995713MaRDI QIDQ3016324

Lukáš Rachůnek, Irena Rachůnková

Publication date: 15 July 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903257834

zbMATH Keywords

homoclinic pointstrictly increasing solutionsautonomous second-order difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (2)

Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics ⋮ Bifurcations of a second-order difference equation related to a class of reaction–diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems
• Solvability of discrete Neumann boundary value problems
• An analytical approximation of density profile and surface tension of microscopic bubbles for van der Waals fluids
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Efficient numerical solution of the density profile equation in hydrodynamics
• Singular discrete and continuous mixed boundary value problems
• Solvability of discrete Dirichlet problem via lower and upper functions method
• Singular discrete problem arising in the theory of shallow membrane caps
• Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
• Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem
• The existence of solutions for second-order difference equations
• On second-order rational difference equations, part 1
• A note on the asymptotic behavior of solutions to a second order difference equation
• Singular discrete second order BVPs withp-Laplacian
• Global asymptotic stability of a second order rational difference equation

This page was built for publication: On a homoclinic point of an autonomous second-order difference equation