On Opial Type Inequalities with Nonlocal Conditions and Applications

- Journal title : Kyungpook mathematical journal
- Volume 51, Issue 2, 2011, pp.165-175
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2011.51.2.165

Title & Authors

On Opial Type Inequalities with Nonlocal Conditions and Applications

Bougoffa, Lazhar; Daoud, Jamal Ibrahim;

Bougoffa, Lazhar; Daoud, Jamal Ibrahim;

Abstract

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.

Keywords

Opial's inequality;nonlocal conditions;

Language

English

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