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具有变号非线性项的多点边值问题的非平凡解
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：1503-1513
  • 语言：中文
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,山东曲阜273165, [2]烟台南山学院理学院,山东烟台265713, [3]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）; 山东省青年自然科学基金（Q2007A02 ZR2009AL016）资助
  • 相关项目：非线性泛函分析和在微分方程中的应用
作者： 栾世霞|万菲菲|张新光|
关键词： 非平凡解, M-点边值问题, 奇异, Leray-Schauder度, Nontrivial solutions, m-point boundary value problems, Singular, Leray-Schauder degree
中文摘要：

该文研究一类具有变号非线性项的m-点边值问题其中f∈C（[0,1]×（-∞,＋∞）,（-∞,＋∞））,f不要求非负和下方有界.通过建立更一般的Leray-Schauder度理论和计算全连续域上的拓扑度,得到了非平凡解的存在性结果.

英文摘要：

In this paper,the authors consider a class of m-point boundary value problems with changing sign nonlinearity where f∈C（[0,1]×（-∞,＋∞）,（-∞,＋∞）） is a sign-changing function,not necessarily nonnegative and bounded from below.By establishing a more general Leray-Schauder degree theory, and computing the topological degree of a completely continuous field,some existence results of nontrival solutions are obtained.

同期刊论文项目
非线性泛函分析和在微分方程中的应用
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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