【摘要】 利用锥映射不动点指数定理证明了（ｎ－１，１）共轭边值问题ｕ（ｎ）＋ａ（ｔ）ｆ（ｕ）＝０，ｕ（０）＝ｕ（１）＝ ０，０　ｊ ｎ－２，至少存在两个正解．本文允许ａ（ｔ）在［０，１］两端点处具有奇性，并允许ａ（ｔ）在［０，１］ 某些子区间上恒为零．更多还原

【Abstract】 Two positive solutions are obtained by the fixed point index theorem in cones for (n-1,1) Conjugate Boundary Value Problem u(n)+a(t)f(u)=0, u(j)=u(0)u( 1 )=0, 0 j n-2 It permits a(t) to have a singularity at endpoint t=0 and t= 1 , and permits a(t) to vanish at some subinterval of [0,1].更多还原