| 高阶脉冲中立型偏泛函微分方程的强迫振动性 |
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| 引用本文： | 罗李平,肖娟,王艳群,谢作政,曾云辉.高阶脉冲中立型偏泛函微分方程的强迫振动性[J].数学的实践与认识,2012,42(20). |
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| 作者姓名： | 罗李平 肖娟 王艳群 谢作政 曾云辉 |
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| 作者单位： | 1. 衡阳师范学院数学与计算科学系,湖南衡阳,421002
2. 衡阳市现代农业示范园,湖南衡阳,421200 |
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| 基金项目： | 湖南省自然科学基金委员会与衡阳市政府自然科学联合基金 |
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| 摘 要： | 研究一类具高阶Laplace算子的高阶脉冲非线性中立型偏泛函微分方程的强迫振动性,利用Green公式和微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型微分不等式的问题,获得了这类方程在三类不同边值条件下所有解强迫振动的若干充分条件.
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| 关 键 词： | 脉冲 非线性中立型 高阶偏泛函微分方程 强迫振动性 高阶Laplace算子 |
Forced Oscillation of Higher Order Impulsive Neutral Partial Functional Differential Equations |
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| LUO Li-ping
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XIAO Juan
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WANG Yan-qun
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XIE Zuo-zheng
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ZENG Yun-hui.Forced Oscillation of Higher Order Impulsive Neutral Partial Functional Differential Equations[J].Mathematics in Practice and Theory,2012,42(20). |
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| Authors: | LUO Li-ping XIAO Juan WANG Yan-qun XIE Zuo-zheng ZENG Yun-hui |
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| Abstract: | In this paper,the forced oscillation of a class of higher order impulsive nonlinear neutral partial functional differential equations with higher order Laplace operator is studied. To reduce the discussed impulsive neutral partial differential equations to impulsive neutral differential inequalities via the Green's formula and the method of differential inequalities, some sufficient conditions for the forced oscillation of all solutions of such equations are obtained under three kinds of different boundary value conditions. |
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| Keywords: | impulse nonlinear neutral type higher order partial functional differential equation forced oscillation higher order Laplace operator |
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