A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
Volume 109 / 2013
Annales Polonici Mathematici 109 (2013), 311-325
MSC: Primary 34B16; Secondary 34B18.
DOI: 10.4064/ap109-3-6
Abstract
We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865–884] where the nonlinearity has a certain homogeneity.
