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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Department of Mathematics, Kyungpook National University, South Korea
2011
|
| Subjects: | |
| Online Access: | 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 |
| id |
iium-4041 |
|---|---|
| recordtype |
eprints |
| 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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
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/ http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf |
| first_indexed |
2023-09-18T20:12:06Z |
| last_indexed |
2023-09-18T20:12:06Z |
| _version_ |
1777407545809305600 |