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四阶奇异微分方程边值问题的多重正解
  • ISSN号：1672-3600
  • 期刊名称：《商丘师范学院学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]临沂师范学院数学系,山东临沂276005, [2]曲阜师范大学数学科学学院,273165, [3]曲阜师范学校兖州校区,272100
  • 相关基金：国家自然科学基金资助项目（10771117）
作者： 王颖[1], 孙钦福[2], 李翠兰[3]
关键词： 奇异边值问题, 不动点指数, 多重正解, 锥, singular boundary value problem, fixed point index, mutiple positive solutions, cone
中文摘要：

利用锥上的不动点指数席理研究了一类四阶奇异微分方程边值问题正解及多重正解的存在性，得到当参数λ属于某一区间时，算子方程z（t）=λAx（t）正解的存在性理论．

英文摘要：

By using the fixed point index theory,the author discusses the existence of positive and mutiple positive solutions of fourth order singular differential equation with boundary counditions, and obtains the results with the operator equation x（t）=2 λx （t）, when ）, in some interval. The results significantly extend and improve many known results even for non-singular cases.

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期刊信息
  • 《商丘师范学院学报》
  • 主管单位:河南省教育厅
  • 主办单位:商丘师范学院
  • 主编：司林胜
  • 地址：河南省商丘市平原路55号
  • 邮编：476000
  • 邮箱：sqsysr@126.com sqsyzr@126.com
  • 电话：0370-3126863
  • 国际标准刊号：ISSN：1672-3600
  • 国内统一刊号：ISSN：41-1303/Z
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  • 被引量:5467