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 .%讨论一类广义常微分方程边值问题dx＝d[A]x＋dg，x（a）＋μ∫bax（s）ds＝x（b）解的存在性和惟一性，其中x：[a，b]Rn是[a，b]上的向量值函数，A是定义在[a，b]上的m×n阶矩阵值函数，g是n维向量实值函数并且μ∈R．借助伴随方程，给出了这类广义常微分方程边值问题解的存在性和惟一性．
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