IMPROVEMENTS OF DYNAMIC OPIAL-TYPE INEQUALITIES AND APPLICATIONS

TitleIMPROVEMENTS OF DYNAMIC OPIAL-TYPE INEQUALITIES AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsBohner MJ, MAHMOUD RAMYR, SAKER SAMIRH
JournalDynamic Systems and Applications
Volume24
Start Page229
Pagination13
Date Published2015
ISSN1056-2176
AMS Subject Classification26D15, 39A10, 39A12
Abstract

In this paper, we present some new improvements of dynamic Opial-type inequalities of first and higher order on time scales. We employ the new inequalities to prove several results related to the spacing between consecutive zeros of a solution and/or a zero of its derivative of a second-order dynamic equation with a damping term. The main results are proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scales integration by parts formula, the time scales chain rule, the time scales Taylor formula, and classical as well as time scales versions of H¨older’s inequality.

PDFhttps://acadsol.eu/dsa/articles/24/18-dsa-229-242.pdf
Refereed DesignationRefereed