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无穷区间上二阶奇异微分方程三点边值问题正解的存在性
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：1101-1107
  • 语言：中文
  • 分类：O175.8[理学—数学;理学—基础数学] O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]中国地质大学北京信息工程学院,北京100083, [2]北京理工大学理学院数学系,北京100081
  • 相关基金：国家自然科学基金资助项目（10671012）;中国地质大学（北京）校内基金资助项目（51900961143）
  • 相关项目：微分系统边值问题中的非线性分析
作者： 廉海荣|葛渭高|
关键词： 多点边值问题, 无穷区间, 对角延拓原理, multi-point boundary value problem, infinite interval, diagonalization process
中文摘要：

讨论了一类无穷区间上二阶奇异微分方程三点边值问题正解的存在性和唯一性．通过应用对角延拓原理，不动点指标理论和不等式技巧，得到了该类边值问题正解存在性和唯一性的充分条件，允许非线性项有奇性．

英文摘要：

This paper discusses the existence of positive solutions for the three-point boundary value problem of second order differential equations on a half line. By using the diagonalization process, fixed points theory and inequality techniques, sufficient conditions are obtained to guarantee the existence and uniqueness of positive solutions. In this paper, the nonlinear term has singularities.

同期刊论文项目
微分系统边值问题中的非线性分析
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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