论文信息 - The existence of positive solutions for the Sturm-Liouville boundary value problems

The existence of positive solutions for the Sturm-Liouville boundary value problems

Abstract For the Sturm-Liouville boundary value problem (p(t)u′(t))′+λf(t,u(t))=0, 0⩽t⩽1, α 1 u(0)−β 1 p(0)u′(0)=0, α 2 u(1)+β 2 p(1)u′(1)=0, where λ > 0, we shall use a fixed point theorem in a cone to obtain the existence of positive solutions for λ on a suitable interval.

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