Wiman's formula for a second order dynamic equation

DOI10.1186/1687-1847-2014-61zbMath1343.34140OpenAlexW2126168708WikidataQ59401473 ScholiaQ59401473MaRDI QIDQ738387

Allan C. Peterson, G. R. Hovhannisyan, Lynn H. Erbe

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-61

zbMATH Keywords

oscillation theorynumber of zerosasymptotic representation of solutionsdynamic equation on a time scaleJeffreys, Wentzel, Kramers and Brillouin approximation

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Dynamic equations on time scales or measure chains (34N05)

Cites Work

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• Nonlinear oscillation of second-order dynamic equations on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Comparison theorems for linear dynamic equations on time scales.
• Asymptotic stability for dynamic equations on time scales
• On self-adjoint differential equations of second order
• Oscillation Criteria for Second-Order Linear Differential Equations
• On the Location of Zeros of Oscillatory Solutions
• OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES
• The Asymptotic Arcus Variation of Solutions of Real Linear Differential Equations of Second Order
• On Self-Adjoint Differential Equations of Second Order

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