| 带脉冲的多时滞高阶线性泛函微分方程的振动性和渐近性(英文) |
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| 引用本文： | 张超龙.带脉冲的多时滞高阶线性泛函微分方程的振动性和渐近性(英文)[J].仲恺农业工程学院学报,2014(3):41-47. |
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| 作者姓名： | 张超龙 |
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| 作者单位： | 仲恺农业工程学院计算科学学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(31071560);Natural Science Foundation of Guangdong Province of China(10151022501000004) |
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| 摘 要： | 研究了一类带脉冲的高阶线性泛函微分方程,建立了无脉冲的微分方程的振动性和渐近性的比较原理,在此比较原理下得到了带脉冲的高阶线性泛函微分方程一些有用结论,通过寻找适当的脉冲函数可保证方程解的振动性和渐近性.最后通过实例验证了相关结论.
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| 关 键 词： | 泛函微分方程 脉冲 振动性 渐近性 比较原理 |
Oscillations and asymptotic behavior of higher order multi-delay linear FDE with impulses |
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| ZHANG Chaolong.Oscillations and asymptotic behavior of higher order multi-delay linear FDE with impulses[J].Journal of Zhongkai University of Agriculture and Technology,2014(3):41-47. |
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| Authors: | ZHANG Chaolong |
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| Institution: | ZHANG Chaolong;College of Computational Science,Zhongkai University Agriculture and Engineering; |
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| Abstract: | A kind of higher order multi-delay linear functional differential equation （FDE） with impulses was studied .The comparison principle was established for the oscillation and asymptotic behavior of the solution .Several criteria on the oscillation and asymptotic behavior of solutions were given by the compar-ison principle .Some suitable impulse functions could be found to ensure that all the solutions of the e-quation were oscillatory and asymptotic behavior under the impulse control .At last, those results were il-lustrated with some examples . |
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| Keywords: | functional differential equation （FDE） impulses oscillation asymptotic behavior comparison principle |
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