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/ http://irep.iium.edu.my/4041/ http://irep.iium.edu.my/4041/1/%284%2910169_%281%29.pdf |
| Summary: | 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. |
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