| 一类Rayleigh型p-laplace时滞微分方程的周期解 |
| |
| 引用本文： | 宋兵. 一类Rayleigh型p-laplace时滞微分方程的周期解[J]. 安徽师范大学学报(自然科学版), 2011, 34(6): 516-521 |
| |
| 作者姓名： | 宋兵 |
| |
| 作者单位： | 东南大学数学系,江苏南京210096;江苏经贸职业技术学院会计系,江苏南京211168 |
| |
| 摘 要： | 应用Manásevich-Mawhin重合度定理,研究了形如:(φp(x'(t)))'+f(t,x(t-τ(t)),x '(t-σ(t)))+β(t)g(t,x(t-τ(t)))=e(t),的Rayleigh型p-Laplace多时滞微分方程.在β(t)可变号情形下,得到了一个关于周期解存在性的结果.
|
| 关 键 词： | 周期解 存在性 重合度定理 多偏差项 |
Periodic Solutions for a Kind of Rayleigh Type p-Laplacian Delay Equation |
| |
| SONG Bing. Periodic Solutions for a Kind of Rayleigh Type p-Laplacian Delay Equation[J]. Journal of Anhui Normal University(Natural Science Edition), 2011, 34(6): 516-521 |
| |
| Authors: | SONG Bing |
| |
| Affiliation: | SONG Bing1,2(1.Deparment of Mathematics,Southeast University,Nanjing 210096,China;2.Jiangsu Institute of Economic & Trade Technology,Nanjing 211168,China) |
| |
| Abstract: | By using Manásevich-Mawhin continuation theorem,a class of Rayleigh type p-Laplacian differential equation with multiple deviating arguments of the form(φp(x′(t)))′+f(t,x(t-τ(t)),x′(t-σ(t)))+β(t)g(t,x(t-γ(t)))=e(t),is studied.Under the case that the sign of coefficient β(t) can be changed,a result on the existence of periodic solutions is obtained. |
| |
| Keywords: | periodic solutions existence continuation theorem multiple deviating arguments |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
