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含参数四阶奇异微分方程边值问题正解存在性
  • ISSN号：1004-9444
  • 期刊名称：《德州学院学报》
  • 时间：0
  • 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 山东理工职业学院
  • 相关基金：国家自然科学基金资助项目(10771117);; 山东省自然科学基金资助项目(Y2007A23)
作者： 刘倩[1], 孙钦福[1], 欧阳金刚[1]
关键词： 奇异边值问题, 正解, 锥, 不动点定理, 紧算子, singular boundary value problem, positive solutions, cone, fixed point theorem, compact operator
中文摘要：

考察一类含有2个参数的非线性奇异四阶微分方程边值问题正解的存在性,其中允许非线性项f(t,x,y)在x=0,y=0处奇异.它运用的主要工具是锥拉伸压缩不动点定理.通过限制λ的范围,得到边值问题正解的存在性.

英文摘要：

The existence of positive solutions to singular fourth-order boundary value problems with two parameters is considered,where the nonlinear term f(t,x,y) may be singular at x=0,y=0.The main tool is the fixed point theorem in cone.When λ lies in certain range,the boundary value problem in question has at least one positive solution.

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期刊信息
  • 《德州学院学报》
  • 主管单位:山东省教育厅
  • 主办单位:德州学院
  • 主编：季桂起
  • 地址：德州市德城区大学西路566号
  • 邮编：253023
  • 邮箱：xb8985646@126.com
  • 电话：0534-8985646 8985581
  • 国际标准刊号：ISSN：1004-9444
  • 国内统一刊号：ISSN：37-1372/Z
  • 邮发代号:
  • 获奖情况:
  • 1998年获德州市新闻出版局优秀期刊奖2009年8月...
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  • 中国国家哲学社会科学学术期刊数据库
  • 被引量:2562