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渐近线性二阶半正离散边值问题正解的分歧结构
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]西北师范大学数学与统计学院,甘肃 兰州730070
  • 相关基金：国家自然科学基金资助项目（11061030）
作者： 张露[1], 马如云[1]
关键词： 分歧理论, 正解, 拓扑度, Sturm-Liouville边界条件, 半正问题, bifurcation theory, positive solutions, topological degree, Sturm-Liouville boundary value conditions, semipositone problem
中文摘要：

在非线性项满足渐近线性增长条件下,研究了二阶半正离散边值问题-Δ2u（t-1）=λf（t,u（t））, t∈[1,T]Z,αu（0）-βΔu（0）=0,γu（T）＋δΔu（T）=0{正解的存在性,其中λ＆gt;0为参数, f：[1,T] Z × R＋→R连续,主要结果的证明基于分歧理论及拓扑度理论。

英文摘要：

It is studied that the existence of positive solutions of second-order semipositone discrete boundary value problem with the nonlinearity satisfies asymptotically linear conditions,-Δ2u（t-1） =λf（t,u（t））, t∈[1,T]Z,αu（0） -βΔu（0） =0,γu（T） ＋δΔu（T） =0,{where λ is a positive parameter, f：[1,T] Z × R＋→R is continuous, The proofs of the main results are based on the to-pological degree techniques and bifurcation theory.

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期刊信息
  • 《山东大学学报：理学版》
  • 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:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 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）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,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）,英国英国皇家化学学会文摘
  • 被引量:6243