New inequalities of Opial's type on time scales and some of their applications
type: Item
instance of: scholarly article
title: New inequalities of Opial's type on time scales and some of their applications
zbMATH Open document ID: 1244.26050
DOI: 10.1155/2012/362526
published in: Discrete Dynamics in Nature and Society
publication date: 2012-08-14T00:00:00Z
review text: Summary: We will prove some new dynamic inequalities of Opial's type on time scales. The results not only extend some results in the literature but also improve some of them. Some continuous and discrete inequalities are derived from the main results as special cases. The results will be applied on second-order half-linear dynamic equations on time scales to prove several results related to the spacing between consecutive zeros of solutions and the spacing between zeros of a solution and/or its derivative. The results also yield conditions for disfocality of these equations.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 6065422
zbMATH Keywords: Opial's type inequalities
Wikidata QID: Q58700492
author: S. H. Saker
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/362526
OpenAlex ID: W2011673298
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description: scientific article; zbMATH DE number 6065422