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一类带p—Laplacian的Sturm—Liouville型四点边值问题多个正解的存在性
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O175.3[理学—数学;理学—基础数学] O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]北京理工大学理学院数学系,北京100081
  • 相关基金：Supported by NNSF of P. R. China （No：10671012） and the Doctoral Programme Foundation of Education Ministry of China （20050007011）
作者： 赵俊芳[1], 孙博[1], 葛渭高[1]
关键词： Sturm—Liouville型, 正解, 边值问题, 不动点定理, p—Laplacian, Sturm-Liouville-like, positive solutions, boundary value problem （BVP） , fixed point theorem, p-Laplacian
中文摘要：

研究了一类带p-Laplacian的四点边值问题．通过运用锥上的不动点定理，我们得到了该类Sturm—Liouville型边值问题三个正解的存在性．

英文摘要：

We are concerned with a kind of four point boundary value problem with onedimensional p-Laplacian. By using a fixed point theorem in a cone, we obtain the existence of at least three positive solutions.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 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
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:22973