Positive solutions of nonlocal boundary value problems with singularities

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2009, 2009(Special): 377-384. doi: 10.3934/proc.2009.2009.377

Positive solutions of nonlocal boundary value problems with singularities

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

Received June 2008 Revised January 2009 Published September 2009

Abstract
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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: cone, positive solution, Fixed point index.

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

Citation: G. Infante. Positive solutions of nonlocal boundary value problems with singularities. Conference Publications, 2009, 2009 (Special) : 377-384. doi: 10.3934/proc.2009.2009.377

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