Abstract and Applied Analysis
Volume 2003 (2003), Issue 18, Pages 1047-1060
doi:10.1155/S1085337503301034
Positive solutions of some nonlocal boundary value problems
Gennaro Infante1
and J.R.L. Webb2
1Dipartimento di Matematica, Università della Calabria, Arcavacata di Rende, Cosenza 87036, Italy
2Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Abstract
We establish the existence of positive solutions of some m-point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub- or superlinear.