SOME DYNAMIC WIRTINGER-TYPE INEQUALITIES AND THEIR APPLICATIONS

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Abstract

In this paper, we present some new Wirtinger-type inequalities on time scales. As special cases, some new continuous and discrete Wirtinger-type inequalities are given. The obtained inequalities are applied to a certain class of half-linear dynamic equations on time scales in order to establish sufficient conditions for disconjugacy.
Original languageEnglish (Ireland)
Pages (from-to)1-18
Number of pages18
JournalPACIFIC JOURNAL OF MATHEMATICS
Volume252
Issue number1
Publication statusPublished - 1 Jul 2011

Keywords

  • Dynamic equation
  • Time scale
  • Wirtinger-type inequality

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Agarwal, RP,Bohner, M,O'Regan, D,Saker, SH

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