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

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

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

刘安平¹, 何猛省²

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

收稿日期:2000-09-25 修回日期:2001-12-26 出版日期:2002-06-18 发布日期:2002-06-18
基金资助:
the National Natural Science Foundation of China(10071026)

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

LIU An-ping¹, HE Meng-xing²

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)

摘要/Abstract

摘要： 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.

中图分类号:

O175.27

刘安平;何猛省. OSCILLATORY PROPERTIES OF THE SOLUTIONS OF NONLINEAR DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 678-685.

LIU An-ping;HE Meng-xing. OSCILLATORY PROPERTIES OF THE SOLUTIONS OF NONLINEAR DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 678-685.

参考文献

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

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

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