| 一类具振动系数的二阶中立型差分方程振动性 |
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| 引用本文： | 李同兴,韩振来.一类具振动系数的二阶中立型差分方程振动性[J].济南大学学报(自然科学版),2009,23(4):410-413. |
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| 作者姓名： | 李同兴 韩振来 |
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| 作者单位： | 济南大学,理学院,山东,济南,250022 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金，济南大学博士基金 |
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| 摘 要： | 二阶Emden-Fowler型差分方程在工程技术中具有广泛应用.本文运用Riccati变换技术研究一类二阶具有振动系数的中立型Emden-Fowler型时滞差分方程的振动性,给出该类方程所有有界解或者振动或者收敛于零的几个充分条件, 并给出一个例子说明本文结果的应用性.
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| 关 键 词： | 振动性 中立型 Emden-Fowler差分方程 振动系数 |
Oscillation of Certain Second-Order Neutral Difference Equation with Oscillating Coefficient |
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| LI Tong-xing,HAN Zhen-lai.Oscillation of Certain Second-Order Neutral Difference Equation with Oscillating Coefficient[J].Journal of Jinan University(Science & Technology),2009,23(4):410-413. |
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| Authors: | LI Tong-xing HAN Zhen-lai |
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| Institution: | School of Science;University of Jinan;Jinan 250022;China |
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| Abstract: | Second-order Emden-Fowler difference equation is widely used in engineering technology.By means of Riccati transformation technique,this paper establishes some criteria which guarantee all bounded solutions either oscillate or converge to zero for a class of second-order neutral Emden-Fowler difference equation with oscillating coefficient,and gives an example to indicate the application of results. |
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| Keywords: | oscillation neutral Emden-Fowler difference equation oscillating coefficient |
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