Regular variation on measure chains

DOI10.1016/j.na.2009.06.078zbMath1179.26005OpenAlexW2069355183MaRDI QIDQ1049523

Jiří Vítovec, Pavel Řehák

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.078

zbMATH Keywords

representation theoremasymptotic propertiesembedding theoremtime scaleregularly varying functionregularly varying sequencesecond order dynamic equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Discrete version of topics in analysis (39A12) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Real analysis on time scales or measure chains (26E70)

Related Items (6)

Second order linear q-difference equations: Nonoscillation and asymptotics ⋮ An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Asymptotic behavior of solutions to half-linear \(q\)-difference equations ⋮ Unnamed Item ⋮ An Asymptotic Analysis of Solutions of a Second Order Nonlinear Differential Equation ⋮ The Karamata integration theorem on time scales and its applications in dynamic and difference equations

Cites Work

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• A note on Bojanic-Senata theory of regularly varying sequences
• Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
• Regular variation and differential equations
• On the Seneta sequences
• A unified theory of regularly varying sequences
• Regularly varying sequences and second order difference equations
• q-regular variation andq-difference equations
• Weak Asymptotic Properties of Partitions
• Regularly Varying Sequences
• Regularly varying functions

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