西北师范大学学报(自然科学版)Issue(6):1-5,5.
一类广义线性常微分方程边值问题解的存在性和唯一性
Existence and uniqueness of solutions of boundary value problems for generalized linear ordinary differential equations
摘要
Abstract
The existence and uniqueness of solutions of boundary value problems for generalized linear ordinary differential equations of the form dx=d[A]x+dg, x(a)+μ∫bax(s)ds = x(b) are discussed ,where x:[a ,b] Rn is a vector valued function on [a,b], A is a m×n-matrix valued function on [a,b], gisan-dimensional real vector valued function and μ∈R . Necessary and sufficient conditions for the existence of solutions of boundary value problem for generalized linear differential equations are given by using adjoint equations .关键词
Kurzweil积分/广义线性常微分方程/边值问题/伴随方程Key words
Kurzweil integral/generalized linear ordinary differential equation/boundary value problem/adjoint equations分类
数理科学引用本文复制引用
李宝麟,李叶..一类广义线性常微分方程边值问题解的存在性和唯一性[J].西北师范大学学报(自然科学版),2013,(6):1-5,5.基金项目
国家自然科学基金资助项目 ()