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Banach空间一阶非线性混合型积微分方程正解的存在性
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]山东教育学院数学系,山东济南250013, [2]聊城大学数学学院,山东聊城252059
  • 相关基金：Supported by the National Natural Science Foundation of China（ 10671167）
作者： 娄国久[1], 张兴秋[2], 王建国[1]
关键词： 脉冲奇异积微分方程, 非紧性测度, SCHAUDER不动点定理, BANACH空间, 正解, impulsive singular integro-differential equation, measure of noncompact-ness, Schauder fixed point theorem, Banach space, positive solution
中文摘要：

通过构造一个闭凸集合并利用全连续算子的不动点理论，对Banaeh空间中混合型一阶非线性奇异脉冲积微分方程进行了研究，获得了正解的存在性结果。

英文摘要：

By constructing a closed convex set and using the fixed point theory of completely continuous operators, the existence of positive solutions for an initial value problems of first order nonlinear impulsive singular integro-differential equations in a Banach space are obtained.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,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）,英国英国皇家化学学会文摘
  • 被引量:6243