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序Banach空间非混合单调二元算子不动点的存在唯一性及应用
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：55-60
  • 语言：中文
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,曲阜273165, [2]菏泽学院初等教育系,菏泽274000
  • 相关基金：国家自然科学基金资助项目（10771117）;高等学校博士点科研基金（20060446001）;山东省自然科学基金（Y2007A23）及曲阜师范大学博士科研启动经费（Bsqd2007040）
  • 相关项目：非线性泛函分析和在微分方程中的应用
作者： 刘立山|张培国|
关键词： 锥理论, 非混合单调二元算子, 算子不动点, cone theory, mixed non-monotone binary operators, fixed points of operator
中文摘要：

利用锥理论和Banach压缩映象原理在更一般的条件下建立了序Banach空间中一类非混合单调二元算子不动点的存在唯一性定理,并应用到Banach空间中二阶非线性Volterra型微分-积分方程初值问题,改进并推广了已有的一些结果.

英文摘要：

By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness theorem of fixed points for mixed non-monotone binary operators in ordered Banach spaces are investigated under more general condition. As an application, an existence and uniqueness theorem of solutions for initial value problems of second order nonlinear integro-differential equations of Volterra type in Banach spaces is given. The results presented here improve and generalize some known results.

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非线性泛函分析和在微分方程中的应用
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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 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,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981