摘要
本文利用Leray－Schauder度理论建立了一类2n阶非线性常微分方程两点边值问题解的存在性与唯一性定理，以及利用Fredholm择一原理与Fourier展式，建立了一类2n阶线性常微分方程两点边值问题解的存在性唯一性定理．
In this paper, first by using the Leray-Schauder degree theory we estabilishthe existence and uniqueness theorems of two-point boundary value problems for a class of2nth-order nonlinear differential equations, and then by using the Fredholm alternative andthe Fourier expansions, we estabilish the existence and uniqueness theorems of the solutions oftwo-point boundary value problems for a class of 2nth-order linear differential equations.
出处
《系统科学与数学》
CSCD
北大核心
1997年第2期165-172,共8页
Journal of Systems Science and Mathematical Sciences
关键词
常微分方程
两点边值问题
存在性
唯一性
解
2nth-order differential equation, two-point boundary value problem, existence 9 uniqueness.
