摘要
建立了奇异非线性三点边值问题ｕ″＋ｆ（ｔ，ｕ）＝０，０＜ｔ＜１，αｕ（０）－βｕ′（０）＝０，ｕ（１）＝ｋｕ（η）．在线性边界条件下非负连续解的存在性唯一性．其中ｆ在ｕ＝０处具有奇性，０＜η＜１．
Existence and uniqueness of nonnegative solutions to a singular nonlinear three-point boundary value problem u″+f(t,u)=0,0<t<1, αu(0)-βu′(0)=0, u(1)=ku(η). is established under linear boundary conditions, where f is singular at u=0,0<η<1.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1998年第1期3-6,共4页
Journal of Northeast Normal University(Natural Science Edition)
关键词
三点边值问题
非负连续解
存在性唯一性
singular three-point boundary value problem
nonnegative solution
existence and uniqueness
