Positive solutions of nonlocal boundary value problems with singularities
G. Infante - Dipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy (email)
Abstract: In this note we discuss the existence of positive solutions for some nonlocal boundary value problem where the boundary conditions involve linear functionals on the space $C[0,1]$ and the involved nonlinearity might be singular. Our main ingredient is the theory of fixed point index.
Keywords: Fixed point index, cone, positive solution
Received: June 2008; Revised: January 2009; Published: September 2009.