| 一类中立型时滞微分方程的广义特征方程 |
| |
| 引用本文： | 冯海星,陈斯养.一类中立型时滞微分方程的广义特征方程[J].云南师范大学学报(自然科学版),2007,27(5):10-13,20. |
| |
| 作者姓名： | 冯海星 陈斯养 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
| |
| 基金项目： | 国家自然科学基金资助项目（60671063）,陕西师范大学重点科研基金资助项目（995091）. |
| |
| 摘 要： | 讨论了二阶非自治中立型时滞微分方程的广义特征方程及其正解的存在性，利用Picard逼近原理分别得出了该时滞微分方程正解存在的充要条件及广义特征方程的根与正确之间的关系。
|
| 关 键 词： | 自治 中立型时滞微分方程 广义特征方程 正解存在性 |
| 文章编号： | 1007-9793（2007）05-0010-04 |
| 修稿时间： | 2007-01-02 |
Generalized Characteristic Equation for a class neutral delay differential equations |
| |
| FENG Hai-Xing,CHEN Siyang.Generalized Characteristic Equation for a class neutral delay differential equations[J].Journal of Yunnan Normal University (Natural Sciences Edition),2007,27(5):10-13,20. |
| |
| Authors: | FENG Hai-Xing CHEN Siyang |
| |
| Institution: | College of Mathenatics and Information Science, Shaanxi Normal University, Xian, 710062, P. R. China |
| |
| Abstract: | Generalized characteristic equation and existence of positive solution for a class second -order non - autonomous neutral delay differential equations are investigated. Sufficient and uecessary condition of exist - ence of positive solutions are obtained by the mean value theorem and the Picard successive approximation the - orem. |
| |
| Keywords: | non - autonomous neutral delay differential equation Generalized characteristic equation exist - ence of positive solution |
| 本文献已被 维普 万方数据 等数据库收录！ |
