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含间断项的微分方程终值问题的拟上下解方法
  • ISSN号：1006-6837
  • 期刊名称：《数学研究》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]江苏工业学院数理学院 山东科技大学信息科学与工程学院
  • 相关基金：国家自然科学基金资助项目(10671167)
作者： 王峰[1], 崔玉军[1], 张芳[1]
关键词： 锥, 终值问题, 拟上下解, 混合单调, cone, terminal value problems, quasi-upper and low solutions, mixed monotone
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《数学研究》
  • 主管单位:厦门大学
  • 主办单位:厦门大学数学科学学院 福建省数学会
  • 主编：林群
  • 地址：厦门大学数学系
  • 邮编：361005
  • 邮箱：jmaths@xmu.edu.cn
  • 电话：0592-2580752 21828321
  • 国际标准刊号：ISSN：1006-6837
  • 国内统一刊号：ISSN：35-1177/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:1284