Positive solutions for multi-point boundary value problem on the half-line

This paper presents a variety of existence results for nonlinear multi-point boundary value problem on the half-line. In particular, we considerx″(t)−px′(t)−qx(t)+f(t,x(t))=0,t∈[0,∞),αx(0)−βx′(0)−∑i=1nkix(ξi)=a,limt→∞x(t)ert=b,r∈[0,p+p2+4q2]. Existence results are established using fixed-point theorems on cone.