摘要
本文使用上下解方法,给出了具非线性边界条件的非线性三阶方程三点进值问题( ) y″=f(t,y,y′,y″) g(y(α),y′(α),y″(α))=0,y(b)=y_1,k(y(c),y′(c),y″(c)=0解存在的充分条件,据作者所知,这类边值问题,至今尚无人讨论过。
This paper presents condions for the existence of solutions solutions of three-point boundary value problems wich posses nonlinear boundary value conditions for nonlinear third equation: y'=f(t,y,y',y') g(y(a),y'(a),y'(a))=0,y (b)=y_1,k(y(c),y'(c),y'(c))=0 As far as I know, these bouudary value probiems have not been discussed up to now. The results of this paper coves a wider class of problems.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
1990年第4期1-7,共7页
Journal of Northeast Normal University(Natural Science Edition)
关键词
非线性
边界条件
三点边值问题
Nonlinear boundary value conditions, Three point boundary value problems.