| 半线性高阶微分方程振动解的渐近性 |
| |
| 引用本文： | 王晓静,宋国华.半线性高阶微分方程振动解的渐近性[J].数学的实践与认识,2010,40(2). |
| |
| 作者姓名： | 王晓静 宋国华 |
| |
| 作者单位： | 1. 北京林业大学省部共建森林培育与保护教育部重点实验室,北京,100083;北京建筑工程学院,理学院,北京,100044
2. 北京建筑工程学院,理学院,北京,100044 |
| |
| 基金项目： | 水体污染控制与治理科技重大专项(2008ZX07314-006和2009ZX07424-006) |
| |
| 摘 要： | 研究了半线性高阶微分方程(m(t)r(t)■p(y′(t))]~((n-1)))~((n))+q(t)■p(t))=f(t)的振动解的渐进性.利用H(o|¨)lder不等式给出了方程(1)的振动解渐进趋向于零的充分条件.
|
| 关 键 词： | 半线性微分方程 高阶 振动解 渐近性质 |
Asymptotic Behavior of Oscillatory Solutions for a Half-Linear Differential Equations of Higher Order |
| |
| WANG Xiao-jing,SONG Guo-hua.Asymptotic Behavior of Oscillatory Solutions for a Half-Linear Differential Equations of Higher Order[J].Mathematics in Practice and Theory,2010,40(2). |
| |
| Authors: | WANG Xiao-jing SONG Guo-hua |
| |
| Institution: | WANG Xiao-jing~(1,2),SONG Guo-hua~2 (1.Key Laboratory for Silviculture , Conservation of Ministry of Education,Beijing 100083,China) (2.School of Science,Beijing University of Civil Engineering , Architecture,Beijing 100044,China) |
| |
| Abstract: | In the present paper,the asymptotic behavior of oscillatory solutions for the half-linear differential equations(m(t)r(t)■_p(y'(t))]~((n-1)))~((n)) + q(t)■_p(y(t)) = f(t) is investigated.By mean of the Holder inequality,sufficient conditions so that all oscillatory solutions of the equation(1) tend to zero as t→∞are established. |
| |
| Keywords: | half-linear differential equations higher order oscillatory solution asymptotic behavior |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
