Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (6): 678-685.

• Articles • Previous Articles     Next Articles

OSCILLATORY PROPERTIES OF THE SOLUTIONS OF NONLINEAR DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

LIU An-ping1, HE Meng-xing2   

  1. 1. Department of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China;
    2. Department of Mathematics and Physics, Wuhan University of Technology, Wuhan 430070, P. R. China
  • Received:2000-09-25 Revised:2001-12-26 Online:2002-06-18 Published:2002-06-18
  • Supported by:
    the National Natural Science Foundation of China(10071026)

Abstract: By making use of the integral inequalities and some results of the functional differential equations, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi-delays were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fully indicate that the oscillations are caused by delay and hence reveal the difference between these equations and those equations without delay.

2010 MSC Number: 

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