| OSCILLATORY PROPERTIES OF THE SOLUTIONS OF NONLINEAR DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE |
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| 作者姓名： | 刘安平 何猛省 |
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| 作者单位： | LIU An_ping，HE Meng_xing (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 |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 0 71 0 2 6) |
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| 摘 要： | Ｔｈｅｎｅｗｌｙ—ｄｅｖｅｌｏｐｅｄｔｈｅｏｒｙｏｆｎｏｎｌｉｎｅａｒｄｅｌａｙｐａｒｔｉａｌｆｕｎｃｔｉｏｎａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓａｒｅａｐｐｌｉｅｄｉｎｍａｎｙｆｉｅｌｄｓ,ｓｕｃｈａｓｉｎｅｎｇｉｎｅｅｒｉｎｇ ,ｂｉｏｌｏｇｙ,ｍｅｄｉｃｉｎｅ,ｐｈｙｓｉｃｓａｎｄｃｈｅｍｉｓｔｒｙ .Ａｓｅｒｉｅｓｏｆｓｕｆｆｉｃｉｅｎｔｃｏｎｄｉｔｉｏｎｓ,ｎｅｃｅｓｓａｒｙａｎｄｓｕｆｆｉｃｉｅｎｔｃｏｎｄｉｔｉｏｎｓｆｏｒｏｓｃｉｌｌａｔｉｏｎｓｏｆｔｈｅｅｑｕａｔｉｏｎｓｗｅｒ…
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| 收稿时间： | 25 September 2000 |
Oscillatory properties of the solutions of nonlinear delay hyperbolic differential equations of neutral type |
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| 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. |
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| Authors: | Liu An-ping He Meng-xing |
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| Institution: | 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 |
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| 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. |
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| Keywords: | neutral delay hyperbolic oscillation nonlinear |
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