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http://dx.doi.org/10.5666/KMJ.2011.51.2.165

On Opial Type Inequalities with Nonlocal Conditions and Applications

Bougoffa, Lazhar (Department of Mathematics, Faculty of Science, Al-imam University)
Daoud, Jamal Ibrahim (Department of Science in Engineering, International Islamic University)

Publication Information

Kyungpook Mathematical Journal / v.51, no.2, 2011 , pp. 165-175 More about this Journal

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;

Citations & Related Records

Times Cited By SCOPUS : 0

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