Positive solutions of nonlocal boundary value problems with singularities

G. Infante

doi:10.3934/proc.2009.2009.377

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2009, Volume 2009: 377-384. Doi: 10.3934/proc.2009.2009.377 open access

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Positive solutions of nonlocal boundary value problems with singularities

G. Infante^1,

1.
Dipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza

Received: June 2008

Revised: January 2009

Published: September 2009

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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.

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Mathematics Subject Classification: Primary: 34B18; Secondary: 34B10, 47H10, 47H30.

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