Positive Solutions of Singular Sturm-Liouville Boundary Value Problems with Positive Green Function

摘要

The existence and multiplicity of positive solutions are studied for a singular Sturm-Liouville boundary value problem with positive Green function,where the nonlinearity may be super-strongly singular with respect to the space variable.By constructing suitable control functions,the a priori bound of solution is exactly estimated.By applying the Guo-Krasnosel’skii fixed point theorem of cone expansion-compression type,several existence results are proved.