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

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.

Keywords

• Second order differential equations
• Dirichlet boundary conditions
• periodic boundary conditions
• sign changing Green's function