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一类n阶非线性两点边值问题解的存在性与唯一性
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]北京理工大学数学系,北京100081, [2]北华大学数学系,吉林132013
  • 相关基金：国家自然科学基金（10671012）和教育部博士点专项基金（20050007011）资助项目.
作者： 王立波[1,2], 裴明鹤[2], 葛渭高[1]
关键词： Leray—Schauder度理论, 上下解方法, 微分不等式方法, NAGUMO条件, Leray-Schauder degree, Upper and Lower solutions, Differential inequality method, Nagumo condition
中文摘要：

本文利用Leray—Schauder度理论，上下解方法及微分不等式方法等，在较弱的Nagumo条件下得到了一类n阶非线性两点边值问题解的存在性与唯一性结果，并给出了应用举例．

英文摘要：

By using Upper and Lower solutions method, Leray-Schauder degree theory and Differential inequality method, we establish the existence and uniqueness theorems for a kind of nth-order nonlinear two-point boundary value problems with weaker Nagumo condition, and we give an example to demmonstrate our results.

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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,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）,中国北大核心期刊（2000版）
  • 被引量:6864