JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (03): 57-61.doi: 10.6040/j.issn.1671-9352.0.2014.083

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(Strong) oscillation analysis of quasilinear hyperbolic systems with impulse effect

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

  1. Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421002, Hunan, China
  • Received:2014-03-10 Revised:2014-09-30 Online:2015-03-20 Published:2015-03-13

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Abstract: The (strong) oscillation properties of a class of quasilinear hyperbolic systems with impulse effect are investigated. By using a new technique of treating quasilinear diffusion term and some results of impulsive differential inequality, some sufficient criteria are obtained for the (strong) oscillation of all solutions of such systems under second boundary condition. The results fully indicate that the system oscillation are caused by impulse effect.

Key words: (strong) oscillation, impulse effect, quasilinear diffusion term, hyperbolic system

CLC Number: 

  • O175.27
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[1] LUO Li-ping, LUO Zhen-guo, ZENG Yun-hui. (Full)oscillatory problems of certain quasilinear hyperbolic systems with damping term [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 73-77.
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