%0 Journal Article %T 一类带阻尼项的拟线性双曲系统的(全)振动性问题<br>(Full)oscillatory problems of certain quasilinear hyperbolic systems with damping term %A 罗李平 %A 罗振国 %A 曾云辉< %A br> %A LUO Li-ping %A LUO Zhen-guo %A ZENG Yun-hui %J 山东大学学报(理学版) %D 2016 %R 10.6040/j.issn.1671-9352.0.2015.399 %X 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。<br>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 %K 拟线性扩散项 %K 双曲系统 %K (全)振动性 %K 阻尼项 %K < %K br> %K (full)oscillation %K quasilinear diffusion term %K hyperbolic system %K damping term %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.399