On Recessive and Dominant Solutions for Half-linear Difference Equations

DOI10.1080/10236190310001634785zbMath1066.39002OpenAlexW2012353866MaRDI QIDQ4656131

Mariella Cecchi, Mauro Marini, Zuzana Došlá

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1080/10236190310001634785

zbMATH Keywords

Riccati difference equationrecessive solutiondominant solutionhalf-linear second order difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (8)

On intermediate solutions and the Wronskian for half-linear differential equations ⋮ Rapidly varying decreasing solutions of half-linear difference equations ⋮ Asymptotic representations of solutions of nonlinear two term difference equations ⋮ Decaying solutions for discrete boundary value problems on the half line ⋮ Positive solutions of the Emden–Fowler difference equation ⋮ Summation characterization of the recessive solution for half-linear difference equations ⋮ Summation inequalities and half-linear difference equations ⋮ Regularly varying sequences and second order difference equations

Cites Work

• Bounded and zero convergent solutions of second-order difference equations
• Riccati techniques and discrete oscillations
• Dominant and recessive solutions of symmetric three term recurrences
• Nonoscillation criteria for half-linear second-order difference equations
• A problem on Hartman and Wintner: approximation for discrete perturbations
• Positive decreasing solutions of quasi-linear difference equations
• A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems
• Unbounded solutions of quasi-linear difference equations
• Oscillatory Properties of Second Order Half-Linear Difference Equations
• Growth and Oscillation Properties of Second Order Linear Difference Equations
• An existence theorem for a nonlinear difference equation

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