A nonlinear second order problem with a nonlocal boundary condition
We study a nonlinear problem of pendulum-type for a p-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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/38532 |
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| _version_ | 1832547525857378304 |
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| author | P. Amster P. De Nápoli |
| author_facet | P. Amster P. De Nápoli |
| author_sort | P. Amster |
| collection | DOAJ |
| description | We study a nonlinear problem of pendulum-type for a
p-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. |
| format | Article |
| id | doaj-art-ab72d2694c3242bdb74a43dd15bec60a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ab72d2694c3242bdb74a43dd15bec60a2025-02-03T06:44:35ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/3853238532A nonlinear second order problem with a nonlocal boundary conditionP. Amster0P. De Nápoli1Universidad de Buenos Aires, FCEyN, Departamento de Matemática, Ciudad Universitaria, Pabellón I, CONICET (Consejo Nacional de Investigaciones Cientí ficas y Tècnicas), Buenos Aires (1428), ArgentinaUniversidad de Buenos Aires, FCEyN, Departamento de Matemática, Ciudad Universitaria, Pabellón I, CONICET (Consejo Nacional de Investigaciones Cientí ficas y Tècnicas), Buenos Aires (1428), ArgentinaWe study a nonlinear problem of pendulum-type for a p-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.http://dx.doi.org/10.1155/AAA/2006/38532 |
| spellingShingle | P. Amster P. De Nápoli 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://dx.doi.org/10.1155/AAA/2006/38532 |
| work_keys_str_mv | AT pamster anonlinearsecondorderproblemwithanonlocalboundarycondition AT pdenapoli anonlinearsecondorderproblemwithanonlocalboundarycondition AT pamster nonlinearsecondorderproblemwithanonlocalboundarycondition AT pdenapoli nonlinearsecondorderproblemwithanonlocalboundarycondition |