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山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (6): 73-77.doi: 10.6040/j.issn.1671-9352.0.2015.399

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一类带阻尼项的拟线性双曲系统的(全)振动性问题

罗李平,罗振国,曾云辉   

  1. 衡阳师范学院数学与统计学院, 湖南 衡阳 421002
  • 收稿日期:2015-08-24 出版日期:2016-06-20 发布日期:2016-06-15
  • 作者简介:罗李平(1964— ), 男, 教授, 研究方向为(脉冲)偏微分系统解的性态. E-mail:luolp3456034@163.com
  • 基金资助:
    湖南省“十二五”重点建设学科资助项目(湘教发［2011］76号);湖南省自然科学基金青年资助项目(13JJ4098);湖南省自然科学基金面上项目(2016JJ2008)

(Full)oscillatory problems of certain quasilinear hyperbolic systems with damping term

LUO Li-ping, LUO Zhen-guo, ZENG Yun-hui   

  1. College of Mathematics and Statistics, Hengyang Normal University, Hengyang 421002, Hunan, China
  • Received:2015-08-24 Online:2016-06-20 Published:2016-06-15

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摘要： 研究一类带阻尼项的拟线性双曲系统的(全)振动性, 利用新的处理拟线性扩散项及阻尼项的技巧, 建立了这类系统在第二类边值条件下每一个解(全)振动的几个新的充分性判据, 并通过一个例子加以阐明。所得结果反映了阻尼项在决定系统的(全)振动中所起的作用。

关键词: 拟线性扩散项, 双曲系统, (全)振动性, 阻尼项

Abstract: The(full)oscillation for a class of quasilinear hyperbolic systems with damping term are investigated. By using a new technique of treating quasilinear diffusion term and damping term, some new sufficient criteria for the(full)oscillation of each solution of such systems are established under second boundary value condition, which are illustrated by a example. The results obtained reflect the functions that damping term acts in determining the(full)oscillation of system.

Key words: (full)oscillation, quasilinear diffusion term, hyperbolic system, damping term

中图分类号: 

  • O175.27
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