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一类n阶方程边值问题解的存在性
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,曲阜273165, [2]济宁技术学院基础部,济宁272013
  • 相关基金：国家自然科学基金（10771117）高等学校博士点专项基金（20060446001）.
作者： 魏乙[1,2], 刘立山[1], 田凯[1]
关键词： n阶方程边值问题, Lp-Carathéodory条件, Leray-Schauder连续定理, 全连续算子, n-order boundary value problem, Lp-Caratheodory condition, Leray-Schauder continua-tion principle, completely continuous operator
中文摘要：

本文在假设满足Lp—Caratheodory条件下，利用Leray-Schauder连续定理研究了一类n阶三点边值问题解的存在性，并且给出了两个相应的例子来说明本文的结果。

英文摘要：

We discuss the three point boundary value problems for a class of n-order differential equations and obtain the existence of at least one solution by using the Leray-Schauder continuation principle. Two examples are given to demonstrate the main results of this paper.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
  • 获奖情况:
  • 《中文核心期刊要目总览》核心期刊,《中国科学引文数据库》核心期刊,《中国数学文摘》核心期刊,陕西省优秀科技期刊
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  • 被引量:6741