Open AccessOn Opial Type Inequalities with Nonlocal Conditions and Applications
Author(s) -
Lazhar Bougoffa,
Jamal Ibrahim Daoud
Publication year - 2011
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2011.51.2.165
Subject(s) - mathematics , inequality , type (biology) , order (exchange) , mathematical analysis , pure mathematics , calculus (dental) , medicine , ecology , dentistry , biology , finance , economics
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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