Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 2, Pages 177-184
doi:10.1155/FPTA.2005.177

Positive solutions of some three-point boundary value problems via fixed point index for weakly inward A-proper maps

Gennaro Infante

 Dipartimento di Matematica, Universitàdella Calabria, Arcavacata di Rende, Cosenza 87036, Italy
Received 23 November 2003; Revised 2 November 2004

Abstract

We use the theory of fixed point index for weakly inward A-proper maps to establish the existence of positive solutions of some second-order three-point boundary value problems in which the highest-order derivative occurs nonlinearly.