| 偶阶半线性阻尼泛函微分方程的振动性 |
| |
| 引用本文： | 张全信,俞元洪.偶阶半线性阻尼泛函微分方程的振动性[J].应用数学学报,2010,33(4). |
| |
| 作者姓名： | 张全信 俞元洪 |
| |
| 作者单位： | 1. 滨州学院数学与信息科学系,滨州,256603
2. 中国科学院数学与系统科学研究院,北京,100190 |
| |
| 基金项目： | 国家自然科学基金，山东省自然科学基金，山东省高等学校科研计划 |
| |
| 摘 要： | 本文讨论了偶阶半线性阻尼泛函微分方程解的振动性质.利用广义Riccati变换和不等式技巧得到了所述方程的一切解均为振动的若干新的振动准则,推广和改进了一些文献中的结果.
|
| 关 键 词： | 半线性 阻尼泛函微分方程 振动准则 |
Oscillation of Even order Half-linear Functional Differential Equations with Damping |
| |
| ZHANG QUANXIN,YU YUANHONG.Oscillation of Even order Half-linear Functional Differential Equations with Damping[J].Acta Mathematicae Applicatae Sinica,2010,33(4). |
| |
| Authors: | ZHANG QUANXIN YU YUANHONG |
| |
| Affiliation: | ZHANG QUANXIN (Department of Mathematics and Information Science,Binzhou University,Binzhou 256603) YU YUANHONG (Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100190) |
| |
| Abstract: | In this paper a class of even order half-linear functional differential equations with damping are studied.By using the generalized Riccati transformation and the integral averaging technique,new oscillation criteria are obtained for all solutions of the equations, which generalize and improve some known results |
| |
| Keywords: | half-linear functional differential equation with damping oscillation criterion |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
