Applications of iterated logarithm functions on time scales to Riemann–Weber-type equations

DOI10.1090/proc/14812zbMath1440.34096OpenAlexW2982451122WikidataQ126860681 ScholiaQ126860681MaRDI QIDQ5218206

Baku Ito, Naoto Yamaoka, Pavel Řehák

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14812

zbMATH Keywords

oscillationoscillation constanttime scales calculusiterated logarithm functionsEuler-type equationsRiemann-Weber-type equations

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamic equations on time scales or measure chains (34N05)

Related Items (2)

Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type ⋮ A multivalued logarithm on time scales

Cites Work

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• Oscillation of an Euler-Cauchy dynamic equation
• An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type
• The Karamata integration theorem on time scales and its applications in dynamic and difference equations
• Multivariable Dynamic Calculus on Time Scales
• Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales
• The logarithm on time scales
• General solutions of second-order linear difference equations of Euler type
• Non-Oscillation Theorems

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