A nonlinear second order problem with a nonlocal boundary condition
<p>We study a nonlinear problem of pendulum-type for a <mml:math alttext="$p$"> <mml:mi>p</mml:mi> </mml:math>-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for...
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| Format: | Article |
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| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/JBB/2006/38532 |
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| collection | DOAJ |
| description | <p>We study a nonlinear problem of pendulum-type for a <mml:math alttext="$p$"> <mml:mi>p</mml:mi> </mml:math>-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. Moreover, using the method of upper and lower solutions, we generalize a celebrated result by Castro for the classical pendulum equation.</p> |
| format | Article |
| id | doaj-art-3d7fb12ca67c48ef919c285234f8962e |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3d7fb12ca67c48ef919c285234f8962e2025-02-03T06:08:27ZengWileyAbstract and Applied Analysis1085-33752006-01-012006A nonlinear second order problem with a nonlocal boundary condition<p>We study a nonlinear problem of pendulum-type for a <mml:math alttext="$p$"> <mml:mi>p</mml:mi> </mml:math>-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. Moreover, using the method of upper and lower solutions, we generalize a celebrated result by Castro for the classical pendulum equation.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/JBB/2006/38532 |
| spellingShingle | A nonlinear second order problem with a nonlocal boundary condition Abstract and Applied Analysis |
| title | A nonlinear second order problem with a nonlocal boundary condition |
| title_full | A nonlinear second order problem with a nonlocal boundary condition |
| title_fullStr | A nonlinear second order problem with a nonlocal boundary condition |
| title_full_unstemmed | A nonlinear second order problem with a nonlocal boundary condition |
| title_short | A nonlinear second order problem with a nonlocal boundary condition |
| title_sort | nonlinear second order problem with a nonlocal boundary condition |
| url | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/JBB/2006/38532 |