Electron. J. Differential Equations, Vol. 2017 (2017), No. 245, pp. 1-17.

Positive solutions for second-order boundary-value problems with sign changing Green's functions

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
  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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