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共振条件下分数阶微分方程多点边值问题解的存在性
  • ISSN号：1008-2794
  • 期刊名称：《常熟理工学院学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]中国矿业大学理学院, [2]中国矿业大学管理学院,江苏徐州221116
  • 相关基金：国家自然科学基金项目“微分方程边值问题”（10771212）
作者： 张宁[1], 史小艺[1], 张娣[2]
关键词： 分数阶, 微分方程, 多点边值问题, 迭合度, fractional, differential equation, multi-point boundary value
中文摘要：

分数阶导数是整数阶导数的推广，主要利用Mawhin的连续性定理及迭合度理论，讨论了共振条件下分数阶微分方程多点边值问题解的存在性，得到了解存在的充分条件，推广了已有的结果．

英文摘要：

Fractional order derivative is a derivative of the promotion of integer. This paper discusses the exis tence of solutions for fractional multi-point boundary value problems at resonance by using Mawhin＇s continu ous theorem and coincidence degree theory and the sufficient conditions for the boundary value problems is ob- tained, generalizing known results.

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期刊信息
  • 《常熟理工学院学报》
  • 主管单位:江苏教育厅
  • 主办单位:常熟理工学院
  • 主编：刘华民
  • 地址：常熟市南三环路99号
  • 邮编：215500
  • 邮箱：bjb@cslg.cn
  • 电话：0512-52251276
  • 国际标准刊号：ISSN：1008-2794
  • 国内统一刊号：ISSN：32-1749/Z
  • 邮发代号:
  • 获奖情况:
  • 2001-12:荣获由中国学术期刊(光盘版)编辑委员会和...,2002-5:在中国高等自然科学学报研究会高职高专学...,2002-8:在中国人文社会科学学报学会举办的第二届...,2006-4:在中国人文社会科学学报学会举办的第三届...,2007-5:在第六届江苏
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  • 中国国家哲学社会科学学术期刊数据库
  • 被引量:3210