Banach空间中一阶非线性脉冲奇异终值问题的唯一正解  

A Unique Positive Solutions for First Order Nonlinear Impulsive Singular Terminal Value Problems on Infinite Interval in Banach Spaces

作　　者：张海燕[1] 

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《淮北师范大学学报（自然科学版）》2011年第2期8-12,共5页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省优秀青年人才基金项目(2011SQRZ153);宿州学院硕士科研启动基金项目(2008yss22)

摘　　要：文章利用不动点定理结合迭代技巧,获得Banach空间中一阶非线性脉冲奇异终值问题的唯一正解,给出带有误差估计的正解迭代序列,且文中的条件很容易被验证.In this paper,by applying the fixed point theory combined with a monotone iterative technique,we investigate the unique positive solutions for first-ordre nonlinear impulsive singular terminal value problems in Banach spaces.In addition,an explicit iterative sequence for approximating the positive solution of terminal value problems is derived together with an error estimate.Furthermore,the conditions of the theorems in this paper can be easily verified.

关 键 词：脉冲奇异微分方程 不动点定理 唯一正解 BANACH空间 

分 类 号：O177.91[理学—数学]