Regularly varying sequences and second order difference equations

DOI10.1080/10236190701466728zbMath1147.26002OpenAlexW2059400743MaRDI QIDQ5459790

Serena Matucci, Pavel Řehák

Publication date: 29 April 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701466728

zbMATH Keywords

second order difference equationregularly varying sequence

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

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Cites Work

• Some properties of rapidly varying sequences
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Positive decreasing solutions of quasi-linear difference equations
• Summation inequalities and half-linear difference equations
• Nonoscillatory half-linear differential equations and generalized Karamata functions
• On the Seneta sequences
• A unified theory of regularly varying sequences
• Oscillatory Properties of Second Order Half-Linear Difference Equations
• Oscillation criteria for second order half—linear difference equations
• On Recessive and Dominant Solutions for Half-linear Difference Equations