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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Kyungpook National University, South Korea
2011
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| Online Access: | http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf |
| _version_ | 1848776260119953408 |
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| author | Bougoffa, Lazhar Jamal Ibrahim, Daoud |
| author_facet | Bougoffa, Lazhar Jamal Ibrahim, Daoud |
| author_sort | Bougoffa, Lazhar |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:27:15Z |
| format | Article |
| id | iium-4041 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:27:15Z |
| publishDate | 2011 |
| publisher | Department of Mathematics, Kyungpook National University, South Korea |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 NonPeerReviewed 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 |
| spellingShingle | QA Mathematics Bougoffa, Lazhar Jamal Ibrahim, Daoud On opial type inequalities with nonlocal conditions and applications |
| title | 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_short | On opial type inequalities with nonlocal conditions and
applications |
| title_sort | on opial type inequalities with nonlocal conditions and
applications |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf |