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On Opial Type Inequalities with Nonlocal Conditions and Applications
Journal article   Open access  Peer reviewed

On Opial Type Inequalities with Nonlocal Conditions and Applications

Lazhar Bougoffa and Jamal Ibrahim Daoud
Kyungpook mathematical journal, Vol.51(2), pp.165-175
01/06/2011
DOI: https://doi.org/10.5666/KMJ.2011.51.2.165

Abstract

Mathematics Physical Sciences Science & Technology
The purpose of this note is to give Opial type inequalities with nonlocal conditions. Also, a reverse of the original inequality with y(a) = y(b) = 0 is derived. We apply these inequalities to second-order differential equations with nonlocal conditions to derive several necessary conditions for the existence of solutions.
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https://doi.org/10.5666/KMJ.2011.51.2.165View
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