Existence and uniqueness of positive solutions for a higher order boundary value problem

The goal of this paper is to study the existence and uniqueness of positive solutions for the 2n2nth order boundary value problem: {(−1)nu(2n)=f(t,u,−u″,…,(−1)n−1u(2n−2)),α0u(2i)(0)−β0u(2i+1)(0)=0(i=0,1,…,n−1),α1u(2i)(1)+β1u(2i+1)(1)=0(i=0,1,…,n−1). The Krein–Rutman theorem and the Krasnoselskii–Zabreiko fixed point theorem are the main tools that have been used to develop our work.