| 具连续变量的阻尼中立型差分方程的振动性 |
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| 引用本文： | 朱冰,钟晓珠,陈晓红,杨璐,杨云云.具连续变量的阻尼中立型差分方程的振动性[J].辽宁工程技术大学学报(自然科学版),2012,31(3):429-432. |
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| 作者姓名： | 朱冰 钟晓珠 陈晓红 杨璐 杨云云 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | 河北省教育厅科学研究基金资助项目(Z2007413) |
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| 摘 要： | 针对一类具有连续变量的二阶阻尼中立型差分方程的振动性问题,利用适当的不等式、反证法和广义Riccati变换,取得了该类方程解以及有界解振动的几个充分条件.该成果在生物学、经济学、人口学、物理学以及控制论等领域有广泛的应用.
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| 关 键 词： | 阻尼 差分方程 连续变量 振动性 广义Riccati变换 反证法 中立型 有界解 |
Oscillation of damped neutral difference equations with continuous arguments |
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| ZHU Bing
,
ZHONG Xiaozhu
,
CHEN Xiaohong
,
YANG Lu
,
YANG Yunyun.Oscillation of damped neutral difference equations with continuous arguments[J].Journal of Liaoning Technical University (Natural Science Edition),2012,31(3):429-432. |
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| Authors: | ZHU Bing ZHONG Xiaozhu CHEN Xiaohong YANG Lu YANG Yunyun |
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| Institution: | (College of Sciences,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | In this paper,a class of damped neutral difference equations with continuous arguments is studied.Some sufficient conditions for the oscillation and bounded oscillation of equation solutions are obtained by using suitable inequality,reduction to absurdity and generalized Riccati transformation techniques.The study outcomes can be universally applied in biology,economics,demography,physics and control theory,etc. |
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| Keywords: | damping difference equation continuous arguments oscillation generalized Riccati transformation reduction to absurdity neutral bounded solutions |
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