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一类带有次线性振动非线性项的两点边值问题无穷多个解的存在性
  • ISSN号：1000-5471
  • 期刊名称：西南师范大学学报(自然科学版)
  • 时间：2012
  • 页码：16-19
  • 分类：O176.3[理学—数学;理学—基础数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆400715
  • 相关基金：国家自然科学基金项目（11071198）
  • 相关项目：Hamilton系统的同宿轨与椭圆系统的边值问题
作者： 武君红|吴行平|唐春雷|
关键词： 两点边值问题, 非线性项, 极小极大方法, two-point boundary value problem, sublinear nonlinearity, minimax method
中文摘要：

利用临界点理论中的极小极大方法获得了下列两点边值问题{ü＋u＋f（t,u）=0u（0）=u（π）=0两列不同的解,其中f是次线性的.

英文摘要：

Using the minimax method,we obtain two sequences of distinct solutions,one being the minimum and the other being the saddle point of the associated action functional,of the following boundary value problem ü＋u＋f（t,u）=0u（0）=u（π）=0 with sublinear nonlinearity.

同期刊论文项目
Hamilton系统的同宿轨与椭圆系统的边值问题
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期刊信息
  • 《西南师范大学学报：自然科学版》
  • 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:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400715
  • 邮箱：xhtang@swu.cn
  • 电话：023-68252540
  • 国际标准刊号：ISSN：1000-5471
  • 国内统一刊号：ISSN：50-1045/N
  • 邮发代号:78-22
  • 获奖情况:
  • 全国高校优秀学报,重庆市十佳科技期刊,重庆市一级期刊
  • 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）,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:17791