Existence results for superlinear semipositone BVP’s
Existence results for superlinear semipositone BVP’s
We consider the existence of positive solutions to the BVP \begin{gather*} (p(t)u')' + \lambda f(t,u)=0,\qquad r<t<R,\ au(r)-bp(r)u'(r)=0,\ cu(R) +dp(R)u'(R)=0, \end{gather*} where $\lambda >0$. Our results extend some of the existing literature on superlinear semipositone problems and singular BVPs. Our proofs are quite simple and are based on fixed point theorems …