On opial type inequalities with nonlocal conditions and applications
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 di�erential equations with nonlocal conditions to derive several necessary conditions for the...
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Department of Mathematics, Kyungpook National University, South Korea
2011
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my.iium.irep.40412011-12-29T08:31:19Z http://irep.iium.edu.my/4041/ On opial type inequalities with nonlocal conditions and applications Bougoffa, Lazhar Jamal Ibrahim, Daoud QA Mathematics 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 di�erential equations with nonlocal conditions to derive several necessary conditions for the existence of solutions. Department of Mathematics, Kyungpook National University, South Korea 2011 Article REM application/pdf en http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf Bougoffa, Lazhar and Jamal Ibrahim, Daoud (2011) On opial type inequalities with nonlocal conditions and applications. Kyungpook Mathematical Journal, 51 (2). pp. 165-175. ISSN 1225-6951 http://kmj.knu.ac.kr/xe/?mid=articles&category=11501&document_srl=11511 10.5666/KJM.2011.51.2.165 |
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QA Mathematics Bougoffa, Lazhar Jamal Ibrahim, Daoud On opial type inequalities with nonlocal conditions and applications |
| description |
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 di�erential equations with nonlocal conditions to derive several necessary conditions for the existence of solutions. |
| format |
Article |
| author |
Bougoffa, Lazhar Jamal Ibrahim, Daoud |
| author_facet |
Bougoffa, Lazhar Jamal Ibrahim, Daoud |
| author_sort |
Bougoffa, Lazhar |
| title |
On opial type inequalities with nonlocal conditions and
applications |
| title_short |
On opial type inequalities with nonlocal conditions and
applications |
| title_full |
On opial type inequalities with nonlocal conditions and
applications |
| title_fullStr |
On opial type inequalities with nonlocal conditions and
applications |
| title_full_unstemmed |
On opial type inequalities with nonlocal conditions and
applications |
| title_sort |
on opial type inequalities with nonlocal conditions and
applications |
| publisher |
Department of Mathematics, Kyungpook National University, South Korea |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf http://irep.iium.edu.my/4041/ http://kmj.knu.ac.kr/xe/?mid=articles&category=11501&document_srl=11511 |
| _version_ |
1643605260875333632 |