Banach空间中无界区域上一阶微分方程组的边值问题

摘要

利用M(..o)nch不动点定理,本文研究了Banach空间中无界区域上一阶微分方程组的边值问题,得到其非负无界解的存在性.%In this paper, a boundary value problem for first order differential systems on unbounded domain is ad-ressed by means of the Monch fixed point theorem in a Banach space, and the existence of its unbounded nonnega-tive solutions is obtained.