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一类高阶非线性中立型偏微分方程系统解的振动性
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O175.4[理学—数学;理学—基础数学]
  • 作者机构：[1]成都七中嘉祥外国语学校,成都610023, [2]四川师范大学数学与软件科学学院,成都610066, [3]成都双流中学,成都610200
  • 相关基金：国家自然科学基金（10671133）;四川省学术和技术带头人培养资金（1200311）.
作者： 戴冰[1], 李树勇[2], 王小静[3]
关键词： 高阶, 非线性, 中立型, 振动性, higher order, nonlinear, neutral type, oscillation
中文摘要：

本文讨论一类高阶非线性中立型偏微分方程在Robin边界条件下解的振动性。利用垂直相加法和平均法，把该方程解的振动问题转化为泛函微分不等式正解问题。借助微分不等式的有关结论和分析技巧，建立该方程所有解振动的几个充分条件。

英文摘要：

The oscillation of a class of higher-order nonlinear neutral differential equations under Robin boundary conditions were studied. The oscillatory problem of the equation was transformed into the positive solution of functional differential inequalities by using the method of vertical adding and average. Some sufficient conditions have been established for the oscillation of solutions to the equations by results on differential inequalities.

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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