摘要
本文研究一类超线性奇异微分方程边值问题,在一定条件下得到C^1[0,1]正解存在的充分条件和必要条件,以及不能有两个可比较C^1[0,1]的正解．最后给出了满足要求的例子．
This paper investigates a class of singular superlinear boundary value problems, we obtain the necessary conditions and the sufficient conditions for the existence of C^1 [0, 1] positive solutions, and obtain that C^1 [0, 1] positive solutions of the problems are incomparable. Lastly, we give an example satisfying the conditions.
基金
国家自然科学基金(10471075)
高教博士点专项科研基金(20050446001)
关键词
奇异边值问题
正解
充分条件
必要条件
singular boundary value problem
positive solutions
sufficient condition
necessary condition.
