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四阶奇异边值问题的多重正解
  • ISSN号：0253-2395
  • 期刊名称：《山西大学学报：自然科学版》
  • 时间：0
  • 分类：O152.7[理学—数学;理学—基础数学]
  • 作者机构：[1]山西大学数学科学学院,山西太原030006
  • 相关基金：Shanxi Provincial Youth Science and Technique Foundation（20021001）
作者： 李宇华[1], 逯丽清[1]
关键词： 四阶奇异边值问题, 多个正解, 不动点指数, 锥, fourth order singular boundary value problem, multiple positive solutions , fixed point index, Cone
中文摘要：

利用算子方程的一些抽象结果来讨论四阶奇异边值问题．在非线性项f满足一定备件时，得到λ∈E（0，＋∞），使得当λ∈E（0，λ）时，问题至少有两个正解；当λ=λ时，至少有一个正解；λ〉λ时，没有正解．

英文摘要：

By some abstract results of operator equation ,the fourth order singular boundary value problem was discussed. Under certain conditions on f（t,u）,we find λ〉0 such that the problem has at least two positive solutions for λ∈ （0,λ ）,at least one positive solution for λ=λ ,and no positive solutions for λ〉λ.

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期刊信息
  • 《山西大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:山西省教育厅
  • 主办单位:山西大学
  • 主编：杨斌盛
  • 地址：太原市坞城路92号
  • 邮编：030006
  • 邮箱：xbbjb@sxu.edu.cn
  • 电话：0351-7010455
  • 国际标准刊号：ISSN：0253-2395
  • 国内统一刊号：ISSN：14-1105/N
  • 邮发代号:22-42
  • 获奖情况:
  • 边疆七年获山西省一级期刊荣誉（1993-1999）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国动物学记录,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）
  • 被引量:5651