Alberto Cabada, Ricardo Enguica, Lucia Lopez-Somoza
Abstract:
In this article we analyze some possibilities of finding positive
solutions for second-order boundary-value problems with the Dirichlet
and periodic boundary conditions, for which the corresponding Green's
functions change sign. The obtained results can also be adapted to
Neumann and mixed boundary conditions.
Submitted June 19, 2017. Published October 6, 2017.
Math Subject Classifications: 34B15, 34A40.
Key Words: Second order differential equations; Dirichlet boundary conditions;
periodic boundary conditions; sign changing Green's function.
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Alberto Cabada Instituto de Matemáticas, Facultade de Matemáticas Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain email: alberto.cabada@usc.es |
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| Ricardo Enguiça Departamento de Matemática Instituto Politécnico de Lisboa Lisboa, Portugal email: rroque@adm.isel.pt | |
| Lucía López-Somoza Instituto de Matemáticas, Facultade de Matemáticas Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain email: lucia.lopez.somoza@usc.es |
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