LATEX The existence of positive solutions for multi-point BVPs with dependence on the first order derivative

In this paper, we study the second-order m-point boundary value problem with dependence on the first order derivative x"(t)+f(t,x(t),x\´(t))=0, 0lestles1, x(0)=0, x(1)-Sigma_i=1 ^m-2k_ix(xi_i)=0, where k_i>0, i=1, 2, hellip, m-2, 0<xi₁<xi₂<hellip<xi_m-2<1. We impose growth conditions on f which yield the existence of at least one positive solution by using a new fixed point theorem.