| 具连续变量差分方程非振动解在脉冲扰动下的保持性 |
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| 引用本文： | 魏耿平,申建华.具连续变量差分方程非振动解在脉冲扰动下的保持性[J].数学物理学报(A辑),2006,26(4):595-600. |
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| 作者姓名： | 魏耿平 申建华 |
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| 作者单位： | 怀化学院数学系，湖南师范大学数学系 怀化 418008，长沙 410081 |
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| 基金项目： | 国家自然科学基金(10071018)，教育部优秀青年教师计划项目资助 |
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| 摘 要： | 获得具连续变量差分方程x(t+τ)-x(t)+p(t)x(t-rτ)=0的非振动解在脉冲扰动x(tk+τ)-x(tk)=b_kx(tk), k∈N(1)下具有保持性的充分条件.
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| 关 键 词： | 保持性 非振动解 脉冲扰动 具连续变量差分方程 |
| 文章编号： | 1003-3998(2006)04-595-06 |
| 收稿时间： | 2004-06-06 |
| 修稿时间： | 2005-11-30 |
The Persistence of Nonoscillatory Solutions of Difference Equations Under Impulsive Perturbations |
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| Wei Gengping,Shen Jianhua.The Persistence of Nonoscillatory Solutions of Difference Equations Under Impulsive Perturbations[J].Acta Mathematica Scientia,2006,26(4):595-600. |
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| Authors: | Wei Gengping Shen Jianhua |
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| Institution: | 1.Department of Mathematics, Huaihua College, Huaihua 418008;2.Department of Mathematics, Hunan Normal University, Changsha 410081 |
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| Abstract: | The authors obtain a sufficient condition for the persistence of nonoscillatory solutions of the difference equation with continuous variable
x(t+τ)-x(t)+p(t)x(t-rτ)=0
under the impulsive perturbations x(tk+τ)-x(tk)=b_kx(tk), k∈N(1) |
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| Keywords: | Persistence Nonoscillatory solution Impulsive perturbation Difference equation with continuous variable |
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