| 具连续变量的高阶中立型时滞差分方程的振动性 |
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| 引用本文： | 黄梅,申建华.具连续变量的高阶中立型时滞差分方程的振动性[J].数学研究及应用,2010,30(2):374-380. |
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| 作者姓名： | 黄梅 申建华 |
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| 作者单位： | 湖南省第一师范学校数理系, 湖南 长沙 410002;湖南师范大学数学与计算机学院, 湖南 长沙 410081 |
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| 基金项目： | 国家自然科学基金(Grant No.10571050), 湖南省教育厅科研课题(Grant No.06C054). |
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| 摘 要： | In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm x(t) - c(t)x(t - τ)] = (-1)mp(t)x(t - σ), t ≥ t0 0. Some sufficient conditions are obtained for bounded oscillation of the solutions.
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| 关 键 词： | 中立型时滞差分方程 振动性 连续变量 高阶 充分条件 变系数 amp 内振荡 |
| 收稿时间： | 2007/8/15 0:00:00 |
| 修稿时间： | 2008/2/26 0:00:00 |
Oscillation of High Order Neutral Delay Difference Equations with Continuous Arguments |
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| Mei HUANG and Jian Hua SHEN.Oscillation of High Order Neutral Delay Difference Equations with Continuous Arguments[J].Journal of Mathematical Research with Applications,2010,30(2):374-380. |
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| Authors: | Mei HUANG and Jian Hua SHEN |
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| Institution: | 1. Department of Mathematics and Physics,Hunan First Normal College,Hunan 410002,P.R.China
2. College of Mathematics and Computer Science,Hunan Normal University,Hunan 410081,P.R.China |
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| Abstract: | In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients $\Delta_\tau^mx(t)-c(t)x(t-\tau)]=(-1)^mp(t)x(t-\sigma),~~t\geq t_0>0.$ Some sufficient conditions are obtained for bounded oscillation of the solutions. |
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| Keywords: | delay difference equation bounded solution oscillation nonoscillation |
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