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一阶脉冲微分方程积分边值问题的上下解方法
  • ISSN号：1005-1031
  • 期刊名称：《高校应用数学学报：英文版（B辑）》
  • 时间：0
  • 分类：O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]吉首大学数学与计算机科学学院,湖南吉首416000, [2]湖南师范大学数学系,湖南长沙410081
  • 相关基金：The NNSF of China （ 10571050） ; Key Project of Hunan Province Education Department （03A023）
作者： 陈国平[1], 申建华[2]
关键词： 脉冲微分方程, 单调迭代技术, 积分边界条件, impulsive differential equation , monotone iterative technique , integral boundary condition
中文摘要：

讨论了一类带积分边界条件的一阶脉冲微分方程极值解的存在性问题.在经典假设α≤β下（α,β为对应方程的上下解）,利用上下解方法组合单调迭代技术得到了极值解存在的充分条件.

英文摘要：

This paper is concerned with the existence of extreme solutions of integral boundary conditions for a class of first order impulsive differential equations.In presence of a lower solution α and an upper solution β with the classical condition α≤β.The sufficient conditions are obtained for existence of extreme solutions by using upper and lower solutions method coupled with monotone iterative technique. Keywords：impulsive differential equation;monotone iterative technique;integral boundary condition

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脉冲微分方程某些定性理论的复杂性研究
期刊论文 49
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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位:教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/O
  • 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,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26