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On Opial Type Inequalities with Nonlocal Conditions and Applications
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  • 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;
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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.
Opial's inequality;nonlocal conditions;
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