二阶非齐次系统的边值问题

A Second Order Nonhomogeneous Boundary Problem System

研究二阶非齐次系统边值问题X″+A(t)X=f(t),X(a)=X(b)=0的解,其中A(t)是连续的n×n矩阵,其元素a_(ij)(t)在区间[a,b]上为非负,f(t)是连续向量函数,其分量f_i(t)在[a,b]上为非正。

Solutions of the following second order nonhomogeneous boundary problem system are studied: X+A(t)X=f(t), X(a)=X(b)=0, where A(t) is a continuous n×n matrix with its elements ai j (t) non-negative on the interval [a, b], and f(t) is a continuous vector function with its elements fi(t) non-positive on the interval