摘要
本文利用广义对接方法,建立了n阶非线性微分方程y(n)=f(x,y,y',…, y(n-1))满足非线性三点边界条件的非线性三点边值问题解的存在性与唯一性定理,所得结果将已有的很多相应结果作为特例.
In this paper, by using the generalized matching techniques, we establish the existence and uniqueness theorems of solutions to the nth-order nonlinear differential equation y(n)=f(x,y,y',...,y(n-1)) with the nonlinear three-point boundary conditions and our theorems includes a good many original results as the particular cases.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2005年第4期763-772,共10页
Acta Mathematica Sinica：Chinese Series
基金
教育部留学回国人员科研启动基金资助项目
关键词
n阶非线性微分方程
非线性三点边值问题
存在性
唯一性
nth-order nonlinear differential equations
Nonlinear three-point boundary value problem
Existence
Uniqueness
