关键词:  , singular BVP；superlinear；sublinear；positive solution；cone

Abstract: In this paper,we consider the high order singular boundary value problems: u (n) (t)+a(t)f(u(t))=0, 00,t∈(0,1). a(t) may be singular at t=0,t=1. f(u)∈c[0,+∞) and f(u). n is positive integer and n. When f(u) satisfies the superlinear and sublinear conditions,we give the sufficient conditions to the existence of the positive solution. 

Key words:  , singular BVP；superlinear；sublinear；positive solution；cone