GENERAL HIGHER-ORDER DYNAMIC OPIAL INEQUALITIES WITH APPLICATIONS

TitleGENERAL HIGHER-ORDER DYNAMIC OPIAL INEQUALITIES WITH APPLICATIONS
Publication TypeJournal Article
Year of Publication2017
AuthorsBOHNER MARTIN, OSMAN MAHMOUD, SAKER SAMIR
JournalDynamic Systems and Applications
Volume26
Issue1
Start Page65
Pagination15
Date Published2017
ISSN1056-2176
AMS Subject Classification26D10, 26D15, 34A40, 34N05, 39A10, 39A13
Abstract

In this paper, we present some new generalizations of dynamic Opial-type inequalities of higher order on time scales. The results contain as special cases many of the results currently given in literature. As an application, we apply these inequalities together with a Hardy-type inequality on time scales to establish some lower bounds of the distance between zeros of a solution and/or its derivatives for a fourth-order dynamic equation.
PDFhttps://acadsol.eu/dsa/articles/26/1/4.pdf
DOI10.12732/dsa.v26i1.4
Refereed DesignationRefereed