| OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY |
| |
| 作者姓名： | 冯月才 |
| |
| 作者单位： | Dept. of |
| |
| 基金项目： | Project supported by Natural Science Foundation of Guangdong (011471)，Foundation for the study of Natural Science for Universities of Guangdong (0120). |
| |
| 摘 要： | The oscillatory and asymptotic behavior of a class of first order nonlinear neutral differential equation with piecewise constant delay and with diverse deviating arguments are considered. We prove that all solutions of the equation are nonoscillatory and give sufficient criteria for asymptotic behavior of nonoscillatory solutions of equation.
|
| 关 键 词： | 渐近性 微分方程 波动 差分方程 延迟 分段函数 非线性 |
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRALDIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY |
| |
| Feng Yuecai.OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY[J].微分方程年刊(英文版),2004,20(1):37-40. |
| |
| Authors: | Feng Yuecai |
| |
| Institution: | Dept.ofMath.,SouthChinaNormalUniversity,Guangzhou510631 |
| |
| Abstract: | The oscillatory and asymptotic behavior of a class of first order nonlinear neutral differential equation with piecewise constant delay and with diverse deviating arguments are considered. We prove that all solutions of the equation are nonoscillatory and give sufficient criteria for asymptotic behavior of nonoscillatory solutions of equation. |
| |
| Keywords: | piecewise constant delay neutral differenital equation nonos-cillatory solution asymptotic behavior |
| 本文献已被 CNKI 维普 等数据库收录！ |
