| n阶线性脉冲微分方程解的振动性 |
| |
| 引用本文： | 陈福来,文贤章.n阶线性脉冲微分方程解的振动性[J].应用数学学报,2006,29(3):527-541. |
| |
| 作者姓名： | 陈福来 文贤章 |
| |
| 作者单位： | 1. 湘南学院数学系,郴州,423000
2. 湖南师范大学数学与计算机科学学院,长沙,410081 |
| |
| 摘 要： | 脉冲微分方程解的振动性由于在物理、生态、工程等领域有其应用背景,引起了人们的广泛兴趣,正在成为研究的热点．本文讨论了一类n阶线性脉冲微分方程解的振动性和非振动性,分别给出了n为奇数和偶数时该方程振动和非振动的充分条件,并通过3个例题说明了文中定理的应用,所得结论改进并推广了部分文献的相关结果．
|
| 关 键 词： | 脉冲 振动性 非振动性 n阶线性 |
| 收稿时间： | 2004-06-07 |
| 修稿时间： | 2004-06-072005-12-22 |
Oscillations of N-order Linear Differential Equation with Impulses |
| |
| CHEN FULAI,WEN XIANZHANG.Oscillations of N-order Linear Differential Equation with Impulses[J].Acta Mathematicae Applicatae Sinica,2006,29(3):527-541. |
| |
| Authors: | CHEN FULAI WEN XIANZHANG |
| |
| Institution: | 1 Department of Mathematics, Xiangnan University, Chenzhou 423000;2 College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081 |
| |
| Abstract: | Oscillations of solutions for impulsive differential equations are of very important realistic significance in physics, biology, engineering, etc., which has been focused on and deeply investigated by many authors. In this paper, oscillations and non-oscillations of solutions for n-order, n be odd or even, linear differential equation with impulses are considered and some sufficient conditions for oscillations and non-oscillations of solutions are obtained, which improve and popularize some results in parts of the relative references. Finally, the results are illustrated with three examples. |
| |
| Keywords: | impulse oscillation non-oscillations n-order linear |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
