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一类二阶非线性四点边值问题正解的存在唯一性
  • ISSN号：1673-5196
  • 期刊名称：《兰州理工大学学报》
  • 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信息科学学院,甘肃兰州730070
  • 相关基金：国家自然科学基金（11061030）
作者： 杨春风[1]
关键词： 单调迭代方法, 正解, 存在性, 唯一性, monotone iterative method, positive solution, existence, uniqueness
中文摘要：

运用单调迭代方法讨论二阶非线性常微分方程四点边值问题u″（t）＋f（t,u（t））=0,t∈（0,1）,u（0）=βu（ξ）,u（1）=αu（η）正解的存在唯一性,其中ξ,η∈（0,1）,0≤β（1-ξ）〈1,0≤αη〈1.推广和改进相关文献的结果.

英文摘要：

By using the monotone iterative method,the existence and uniqueness of positive solutions of a nonlinear second-order four-point boundary-value problem u″（t）＋f（t,u（t））=0,t∈（0,1）,u（0）=βu（ξ）,u（1）=αu（η） were discussed,in the equation ξ,η∈（0,1）,0≤β（1-ξ）1,0≤αη1.As a result of this paper,the results of relevant literatures were generalized and improved.

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期刊信息
  • 《兰州理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教委
  • 主办单位:兰州理工大学
  • 主编：李有堂
  • 地址：甘肃省兰州市兰工坪路287号
  • 邮编：730050
  • 邮箱：journal@lut.cn
  • 电话：0931-2756301
  • 国际标准刊号：ISSN：1673-5196
  • 国内统一刊号：ISSN：62-1081/T
  • 邮发代号:54-72
  • 获奖情况:
  • 甘肃高等校优秀学术期刊,全国优秀高校自然科学学报及教育部优秀科技期刊评...,第二届国家期刊奖百种重点期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,英国科学文摘数据库,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）
  • 被引量:6651