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奇异扰动（k,n—k）共轭边值问题的正解
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]广东外语外贸大学信息科学技术学院,广州510006, [2]烟台大学数学与信息科学学院,山东烟台264005
  • 相关基金：国家自然科学基金（10771117）资助
作者： 钟敏玲[1], 张新光[2]
关键词： 共轭边值问题, 奇异扰动问题, 正解, 修正函数, 不动点指数, 锥, Conjugate boundary value problems, Singularly perturbed problem, Positive solutions, Modified function, Fixed point index, Cone
中文摘要：

该文通过构造修正函数,得到了一类奇异扰动（k,n-k）共轭边值问题多个正解的存在性,其中,扰动项仅要求是Lebesgue可积的.最后给出一个例子说明主要结果的应用.

英文摘要：

In this paper,by employing the so-called modified function,some new existence results of multiple positive solutions for a class of singularly perturbed（k,n -k） conjugate boundary value problems are established,where the perturbed term is only a Lebesgue integrable function.An example is worked out to indicate the application of the main results.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:5382