Banach空间常微分方程终值问题的广义解  

Generalized solutions on terminal value problems for ordinary differential equations in Banach spaces

作　　者：汪璇[1] 

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

出　　处：《西北师范大学学报（自然科学版）》2005年第4期16-19,共4页Journal of Northwest Normal University(Natural Science)

摘　　要：研究了Banach空间一阶非线性常微分方程的终值问题.当非线性项仅满足弱Carathéodory条件时,采用单调迭代方法和适当的迭代程序,获得了广义解的存在唯一性结果.The terminal value problem of a nonlinear firstorder ordinary differential equation is discussed in Banach space.Let the nonlinearity satisfy weak Carathéodory conditions,applying the monotone iterative technique and prope iterative process,the existence and uniqueness of the generalized solutions of the prothem are obtained.

关 键 词：BANACH空间 终值问题 单调迭代方法 广义解 

分 类 号：O175.15[理学—数学]