Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales
type: Item
instance of: scholarly article
title: Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales
zbMATH Open document ID: 1191.34109
author: Baoguo Jia
author: Lynn Erbe
author: Allan Peterson
published in: Applied Mathematics and Computation
publication date: 2009-12-16T00:00:00Z
review text: The authors present so-called Willett-Wong-type oscillation and nonoscillation theorems for second order linear dynamic equations on time scales by means of a ``second-level Riccati equation''. Applying these results, they give the complete classification of oscillation and nonoscillation for the difference equation \[ \Delta^2x(n)+\left[\frac{a}{t^{c+1}}+b\frac{(-1)^n}{t^c}\right]x(n+1)=0 \] for \(t\in\mathbb{N}\), \(a,b,c\in\mathbb{R}\) in cases \(a=0\) and \(a\neq 0\). The results obtained in the paper extend and improve some earlier results.
reviewed by: Jan Ohriska
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 5648696
zbMATH Keywords: oscillation
zbMATH Keywords: nonoscillation
zbMATH Keywords: dominant solution
zbMATH Keywords: dynamic equations
zbMATH Keywords: time scales
MaRDI profile type: Publication
full work available at URL: j.amc.2009.07.060
OpenAlex ID: W2048839108
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DOI: 10.1016/J.AMC.2009.07.060
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description: scientific article; zbMATH DE number 5648696