首页 | 本学科首页   官方微博 | 高级检索  
     检索      

含间断项的微分方程终值问题的拟上下解方法
引用本文:王峰,崔玉军,张芳.含间断项的微分方程终值问题的拟上下解方法[J].数学研究,2009,42(1).
作者姓名:王峰  崔玉军  张芳
作者单位:1. 江苏工业学院数理学院,江苏,常州,213164
2. 山东科技大学信息科学与工程学院,山东,青岛,266510
摘    要:在不涉及紧型条件的情形下,利用半序理论和混合单调迭代技术研究了Banach空间中含间断项的一阶微分方程终值问题解的存在唯一性;并给出逼近解迭代序列的误差估计.

关 键 词:  终值问题  拟上下解  混合单调

The Method of Quasi-upper and Low Solutions for Terminal Value Problems of Differential Equations with Discontinuous Terms
Wang Feng,Cui Yujun,Zhang Fang.The Method of Quasi-upper and Low Solutions for Terminal Value Problems of Differential Equations with Discontinuous Terms[J].Journal of Mathematical Study,2009,42(1).
Authors:Wang Feng  Cui Yujun  Zhang Fang
Institution:1 (1.School of Mathematics and Physics; Jiangsu Polytechnic University; Changzhou 213164; 2.College of Information Science and Engineering; Shandong University of Science and Technology; Qingdao 266510);
Abstract:Without the condition of compactness,we use the semi-order theory and mixed monotone iterative technique to investigate the existence and unique solution of terminal value problems for one order differential equations with discontinuous terms in Ban ach spaces.The error estimate of the iterative sequences of approximation solutions is given.
Keywords:cone  terminal value problems  quasi-upper and low solutions  mixed monotone
本文献已被 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号