摘要
本文利用打靶法，给出了ｎ阶非线性常微分方程具有非线性两点边界条件的边值问题存在解与存在唯一解的一般性结果，并将所得结果应用于Ｌｉｐｓｃｈｉｔｚ方程的两点过值问题，给出了存在解与存在唯一解的具体的充分条件。
In this paper, at first, we give some general results of existence and uniqueness of solutions of nonlinear two-point boundary value problems for nth-order nonlinear differential equations by using the shooting method, and then we give concrete sufficient conditions of the existence and uniqueness of solutions by applying the results to nonlinear two-point boundary value problems for nth-order Lipschitz equations.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第5期921-930,共10页
Acta Mathematica Sinica：Chinese Series
关键词
非线性常微分方程
两点边值问题
存在性
唯一性
解
nth-order nonlinear differential equation, Two-point boundary value problems
Existence
Uniqueness
