New existence theorems of positive solutions for Sturm–Liouville boundary value problems

摘要

By constructing available operators some new existence theorems of positive solutions are obtained for the Sturm–Liouville boundary value problem(p(t)u′(t))′+λa(t)f(t,u(t))=0,α1u(0)−β1p(0)u′(0)=0,α2u(1)+β2p(1)u′(1)=0,where a(t)⩾0 and λ>0 is a parameter.