无穷区间上Banach空间常微分方程终值问题解的存在性  

Existence of the solutions of terminal value problems for first order differential equation on infinite interval in Banach spaces

作　　者：李 安乐 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070 [2]天水师范学院数理与信息科学学院,甘肃天水741000

出　　处：《宝鸡文理学院学报（自然科学版）》2005年第3期181-183,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：讨论了无穷区间上Banach空间一阶非线形常微分方程终值问题解的存在性,在不假定f满足非紧性测度条件及上下解存在的情形下,用单调迭代的方法获得了该问题解的存在性结果。The existence of solutions for nonlinear first-order terminal value problem in Banach spaces on infinite interval is discassed. Neither using noncompactness measure condition nor assuming the existence of upper and lower solutions,the existence results of solutions are obtained by using the method of the monotone iterative.

关 键 词：BANACH空间 终值问题 解的存在性 

分 类 号：O175.15[理学—数学] O177.91[理学—基础数学]