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一类带有积分边界条件的非线性二阶边值问题正解的存在性
  • ISSN号：1001-988X
  • 期刊名称：《西北师范大学学报：自然科学版》
  • 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信息科学学院,甘肃兰州730070
  • 相关基金：国家自然科学基金资助项目（11061030）
作者： 杨春风[1]
关键词： 单调迭代方法, 积分边界条件, 正解, 存在性, monotone iterative method, integral boundary conditions, positive solution, existence
中文摘要：

运用单调迭代方法讨论带有积分边界条件的非线性二阶常微分方程边值问题{u″（t）＋f（t,u（t））=0,t∈（0,1）,u（0）=∫01u（s）g（s）ds,u（1）=0正解的存在性.其中g∈L1[0,1]为非负函数,∫01（1-s）g（s）ds〈1,且f∈C（[0,1]×R＋,R＋）.

英文摘要：

The existence of positive solutions for a nonlinear second-order ordinary differential equations BVP with integral boundary conditions {u″（t）＋f（t,u（t））=0,t∈（0,1）,u（0）=∫01u（s）g（s）ds,u（1）=0is given by using the monotone iterative method.Where g∈L1 is a nonnegeative function,∫01（1-s）g（s）ds1,and f∈C（×R＋,R＋）.

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期刊信息
  • 《西北师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教育厅
  • 主办单位:西北师范大学
  • 主编：俞诗源
  • 地址：兰州市安宁东路967号
  • 邮编：730070
  • 邮箱：sdxbz@nwnu.edu.cn
  • 电话：0931-7971692
  • 国际标准刊号：ISSN：1001-988X
  • 国内统一刊号：ISSN：62-1087/N
  • 邮发代号:54-53
  • 获奖情况:
  • 第二届全国优秀科技期刊三等奖,全国优秀高校自然科学学报及教育部优秀期刊二等奖,全国高等学校自然科学学报系统优秀学报一等奖
  • 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,美国生物科学数据库,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（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:7823