| 二阶非线性扰动差分方程的振动准则 |
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| 引用本文： | 张云秋,侯成敏. 二阶非线性扰动差分方程的振动准则[J]. 内蒙古师范大学学报(自然科学版), 2009, 38(2) |
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| 作者姓名： | 张云秋 侯成敏 |
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| 作者单位： | 延边大学工学院,计算机系;延边大学理学院,数学系,吉林,延吉,133000 |
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| 摘 要： | 将Gronwall不等式离散化,利用该不等式讨论了二阶非线性扰动差分程的振动性,把Winter和Lighton所建立的关于微分方程的振动性结果推广到差分方程上.
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| 关 键 词： | 扰动差分方程 Gronwall不等式 振动性 |
Oscillation Criteria of the Second Order Perturbed Nonlinear Difference Equation |
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| ZHANG Yun-qiu,HOU Cheng-min. Oscillation Criteria of the Second Order Perturbed Nonlinear Difference Equation[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2009, 38(2) |
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| Authors: | ZHANG Yun-qiu HOU Cheng-min |
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| Affiliation: | 1.Department of Computer;College of Engineering;Yanbian University;2.Department of Mathematics;College of Science;Yanji 133000;Jilin;China |
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| Abstract: | In this paper,the famous Gronwall inequality is dispersed.By using the discrete Gronwall inequality,the oscillation of the second order perturbed nonlinear difference equation is discussed.The results of Wintener and Lighton on second order nonlinear differential equation are extended to the difference equation. |
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| Keywords: | perturbed differential equation Gronwall inequality oscillation |
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