Existence of positive solutions for a nonlinear fourth order boundary value problem
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 79-84
MSC: Primary 34B18.
DOI: 10.4064/ap81-1-7
Abstract
We study the existence of positive solutions of the nonlinear fourth order problem where a: [0,1]\rightarrow \mathbb R may change sign, f(0)>0, and \lambda>0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.