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偶数阶三点边值问题的多个对称正解
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]兰州大学数学与统计学院,甘肃兰州730000, [2]兰州工业高等专科学校基础学科部,甘肃兰州730050
  • 相关基金：国家自然科学基金资助项目（10571078）;兰州大学理论物理与数学纯基础科学基金资助项目（Lzu05003）
作者： 王社军[1,2], 孙红蕊[1]
关键词： 对称正解, 锥, 不动点, 边值问题, symmertic positive solution, cone, fixed point, boundary value problem
中文摘要：

讨论了偶数阶三点边值问题：（-1）^my^（2m）=f（t,y）,0≤t≤1,u（t）=u（1-t）,αiu^（2i）（0）-βiu^（2i）（1）=γiu（1/2）,0≤i≤m-1.对称正解的存在性条件.借助于Leggett-Williams不动点定理,建立了该问题存在三个及任意奇数个对称正解的充分条件.

英文摘要：

This paper discusses the existence of positive solution to the following even order boundary value problem（-1）my（2m）=f（t,y）,0≤t≤1,u（t）=u（1-t）,αiu^（2i）（0）-βiu^（2i）（1）=γiu（1/2）,0≤i≤m-1. Sufficient conditions are obtained for existence of three or arbitrary odd symmetric positive solutions of the above problem by using LeggettWilliams fixed point theorem.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541