International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 37-40, Pages 2049-2063
doi:10.1155/S0161171204309063
Twin positive solutions for three-point boundary value problems of higher-order differential equations
Yuji Liu
and Weigao Ge
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China
Abstract
A new fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher-order three-point boundary value problem for the differential equation subject to a class ofboundary value conditions. The associated Green's function is given. Some results obtained recently are generalized.