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一类线性二阶自共轭矩阵微分系统的两点振动性研究
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O175.1[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,山东省曲阜市273165
  • 相关基金：国家自然科学其金（10801089 10771118）; 山东省自然科学基金（ZR2009AQ010）
作者： 孔祥聪[1], 郑召文[1]
关键词： 矩阵微分系统, 两点振动, 比较定理, Matrix differential system, two-point oscillation, comparison theorem
中文摘要：

通过纯量二阶微分方程（p（t）x（t）＇）＇＋q（t）x（t）=0,利用比较定理,研究了形如（P（t）Y（t）＇）＇＋Q（t）Y（t）=0的自共轭矩阵微分系统在开区间I=（0,1）上的两点振动性,得到一系列两点振动性判定准则.

英文摘要：

In this paper,using the comparison theorem and the second order scalar differential equation（p（t）x（t）′）′＋q（t）x（t）=0,the two-point oscillation of the system（P（t）Y（t）′）′＋Q（t）Y（t）=0 in the open interval I=（0,1） is considered,several two-point oscillatory criteria are obtained.

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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