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

2017/06/22 by Alberto Cabada, Cabada, Alberto, Ricardo Enguiça +3
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1706.07395

openalex publication_date 2017/06/22 · openalex created_date 2017/06/30 · openalex updated_date 2026/07/28

Abstract

In this paper we analyse some possibilities of finding positive solutions for second order boundary value problems with Dirichlet and periodic boundary conditions, for which the correspondent Green's functions change sign. The obtained results can also be adapted to the Neumann and Mixed boundary conditions.

Related

• Constant sign Green's function of a second order perturbed periodic problem
• Green's functions for even order boundary value problems
• Relationship of the Green's functions related to the Hill's equation coupled to different boundary value conditions
• Positive Green's functions for some fractional-order boundary value\n problems
• Characterization of constant sign Green's function of a two point boundary value problem by means of spectral theory