| 具正负系数一阶时滞微分方程解振动充要条件 |
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| 引用本文： | 王晓萍,廖六生,杨立洪,彭宏.具正负系数一阶时滞微分方程解振动充要条件[J].华南理工大学学报(自然科学版),1997(5). |
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| 作者姓名： | 王晓萍 廖六生 杨立洪 彭宏 |
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| 作者单位： | 湖南郴州师范高等专科学校数学系 |
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| 摘 要： | 建立具正负系数的一阶时滞微分方程（１）的一切解振动的充要条件，有了该条件，依据方程的系数与时滞，经过有限步计算，就能确定方程（１）的解的振动。
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| 关 键 词： | 时滞微分方程 振动 特征方程 |
NECESSARY AND SUFFICIENT CONDITIONS OF OSCILLATIONS OF SOLUTIONS TO FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS |
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| Wang Xiaoping,Liao Liusheng,Yang Lihong,Peng Hong.NECESSARY AND SUFFICIENT CONDITIONS OF OSCILLATIONS OF SOLUTIONS TO FIRST-ORDER DELAY DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS[J].Journal of South China University of Technology(Natural Science Edition),1997(5). |
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| Authors: | Wang Xiaoping Liao Liusheng Yang Lihong Peng Hong |
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| Abstract: | This paper presents the necessary and sufficient conditions of the oscillations of the solutions to the first order differential equation(1) with positive and negative coefficients. With the necessary and sufficient conditions, the coefficients and delay of Eq.(1) and through several steps of computations, the oscillations of all solutions to Eq.(1) can be determined. |
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| Keywords: | delay differential equation oscillations characteristic equation |
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