摘要
该文利用“Matching”技巧 ,给出了四阶非线性常微分方程y(4) =f(x,y,y′,y″,y ) ,满足非线性三点边界条件k(y(b) ,y′(b) ,y″(b) ,y (b) ,y(a) ,y′(a) ,y″(a) ,y (a) ) =0 ,y(b) =μg(y′(b) ,y (b) ) =0 ,h(y(b) ,y′(b) ,y″(b) ,y (b) ,y(c) ,y′(c) ,y″(c) ,y (c) )
In this paper,by using the “Matching” technique, gives concrete sufficient conditions of the existence and uniqueness of solution s of nonlinear three-point boundary value problems for fourth order nonlinear o rdinary differential equation\$\$y\+\{(4)\}=f(x,y,y′,y″,y),\$\$with the nonlinear three-point boundary c onditions\$\$k(y(b),y′(b),y″(b),y(b),y(a),y′(a),y″(a),y(a))=0, y(b)=μ, g(y′(b),y(b))=0, h(y(b),y′(b),y″(b),y(b),y(c),y′(c),y″(c),y(c))=0.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2000年第2期194-201,共8页
Acta Mathematica Scientia
关键词
非线性常微分方程
三点边值问题
存在性
解
Fourth order nonlinear ordinary differential equa tion,Three-point boundary value problems,Existence,Uniqueness.
