摘要
利用上下解方法、不动点理论研究奇异微分方程u″+f(t,u)=0,t∈(0,1)在边界条件αu(0)-βu′(0)=0,γu(1)+δu′(1)=0下C[0,1]正解和C^1[0,1]正解的存在性与唯一性.其中非线性项f(t,u)关于u是减的,仅满足较弱的要求.
The existence of positive solutions for a class of singular boundary value problems is investigated. Furthermore, the sufficient condition for the existence and uniqueness of positive solution of the system in C[0, 1] and C1 [0, 1] is given respectively, by means of the method of lower and upper solution, and the fixed point theorem.
出处
《系统科学与数学》
CSCD
北大核心
2008年第3期325-333,共9页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10471075)
山东省自然科学基金(Y2006A04)
高教博士点专项科研基金(20050446001)资助课题.
关键词
奇异边值问题
正解
上下解
不动点定理.
Singular boundary value problem, positive solution, lower and upper solution,fixed point theorem.
