Global Structure of Positive Solutions for a Singular Fourth-Order Integral Boundary Value Problem

Abstract

We consider fourth-order boundary value problems u′′′′(t)=λh(t)f(u(t)), 00 for all s>0, and f0=∞, f∞=0, f0=lims→0+f(s)/s, f∞=lims→+∞f(s)/s. We investigate the global structure of positive solutions by using global bifurcation techniques.