奇异(k,n-k)共轭边值问题的正解

Positive Solutions to Singular(k,n-k) Conjugate Boundary Value Problems

对固定的 １≤ ｋ≤ｎ－１，在对 ｆ（ｔ，ｙ）更弱的条件下，本文重新建立了奇异边值问题正解的存在性．允许ｆ（ｔ，ｙ）在ｙ＝０，ｔ＝０和ｔ＝１处具有奇性，本文只用到格林函数的正性和一个锥不动点定理，并且构造了格林函数的精确表达式．

For 1 ≤ k≤ n-1, the existence of solutions to the singular boundary value problem are reestablished under weaker and fewer restrictions on f(t, y), where f(t, y) may be singular at y = 0, t = 0 and t = 1. The arguments involve only positivity properties of the Green's function and a fixed point in cones. Moreover, the explicit formula of Green's function can be found in this paper.