华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (1): 19-26.

• 数学 • 上一篇    下一篇

带阻尼项的非线性矩阵微分方程的振动性(英）

徐衍聪1, 孟凡伟2   

  1. 1. 华东师范大学 数学系, 上海 200062; 2. 曲阜师范大学 数学系, 山东 曲阜 273165
  • 收稿日期:2005-10-10 修回日期:2006-04-12 出版日期:2007-01-25 发布日期:2007-01-25
  • 通讯作者: 徐衍聪

Oscillation Criteria for Certain Nonlinear Matrix Differential Equations with Damping(English)

XU Yan-cong1, MENG Fan-wei2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062,China; 2. Department of Mathematics, Qufu Normal University, Qufu Shandong 273165, China
  • Received:2005-10-10 Revised:2006-04-12 Online:2007-01-25 Published:2007-01-25
  • Contact: XU Yan-cong

摘要： 通过积分平均技术及定义新的预备解, 给出了带阻尼项的二阶矩阵微分方程的 一些振动性准则;
把Li 和Rogovchenko 中纯量微分方程的结果推广到了矩阵微分系统; 同时改进了Yang 的一些结果; 最后给出了几个例子说明这些结果的应用.

关键词: 振动性, 非线性, 阻尼, 积分平均, 振动性, 非线性, 阻尼, 积分平均

Abstract: Using the method of integral average technique and defining a new prepared solution, this paper presented some new oscillation criteria of matrix differential equations with damping, which extend the results of Rogovchenko and Li for scalar cases and improve the results of Yang for matrix cases; a few examples was given at the end.

Key words: matrix differential equations, damping, integral average, oscillation, matrix differential equations, damping, integral average

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