JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 73-77.doi: 10.6040/j.issn.1671-9352.0.2015.399

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(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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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

CLC Number: 

  • O175.27
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