| NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAY |
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| 作者姓名： | 刘安平 王国庆 刘婷 肖莉 |
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| 作者单位： | Dept. of Math. and Physics，China University of Geoscience，Wuhan 430074，Dept. of Math. and Physics，China University of Geoscience，Wuhan 430074，Dept. of Math. and Physics，China University of Geoscience，Wuhan 430074，Dept. of Math. and Physics，China University of Geoscience，Wuhan 430074 |
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| 摘 要： | In this paper, by making use of the integral method and some results of the functional differential equations, oscillatory properties of the solutions of certain parabolic partial differential equations with multi-delays are investigated and a series of necessary and sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by the delay and hence reveal the varied difference between these equations and those without delay.
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NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAY |
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| Liu Anping.NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DELAY[J].微分方程年刊(英文版),2003(3). |
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| Authors: | Liu Anping |
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| Abstract: | In this paper, by making use of the integral method and some results of the functional differential equations, oscillatory properties of the solutions of certain parabolic partial differential equations with multi-delays are investigated and a series of necessary and sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by the delay and hence reveal the varied difference between these equations and those without delay. |
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| Keywords: | delay parabolic oscillation necessary and sufficient condition |
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