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| 具偏差变元的二阶p-Laplacian方程周期解存在性问题 | |
| 引用本文： | 鲁世平,葛渭高. 具偏差变元的二阶p-Laplacian方程周期解存在性问题[J]. 数学学报, 2005, 48(5): 841-850. DOI: cnki:ISSN:0583-1431.0.2005-05-002 |
| 作者姓名： | 鲁世平 葛渭高 |
| 作者单位： | [1]安徽师范大学数学系,芜湖241000 [2]北京理工大学数学系,北京100081 |
| 基金项目： | 国家自然科学基金资助项目（10371006）;安徽省教育厅自然科学重点基金资助项目（2005kj031ZD） |
| 摘 要： | 本文研究一类具偏差变元的二阶p-Laplacian方程((?)p(y'(t)))'+f(y'(t))+g(y(t-τ(t)))=e(t)的周期解问题.利用Mawhin重合度拓展定理得到了周期解存在性的新的结果. |
| 关 键 词： | 重合度拓展定理 Rayleigh方程 偏差变元 |
| 文章编号： | 0583-1431（2005）05-0841-10 |
| 收稿时间： | 2003-09-10 |
| 修稿时间： | 2003-09-102004-04-19 |
Periodic Solutions for Second Order p-Laplacian Differential Equation with a Deviating Argument |
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| Lu ShiPing;Ge WeiGao. Periodic Solutions for Second Order p-Laplacian Differential Equation with a Deviating Argument[J]. Acta Mathematica Sinica, 2005, 48(5): 841-850. DOI: cnki:ISSN:0583-1431.0.2005-05-002 | |
| Authors: | Lu ShiPing Ge WeiGao |
| Affiliation: | Shi Ping LU Department of Mathematics, Anhui Normal University, Wuhu 241000, P. R. China Wei Gao GE Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
| Abstract: | By employing the continuation theorem of coincidence degree principle developed by Mawhin, a kind of second order p-Laplacian differential equation with a deviating argument((?)p(y'(t)))'+f(y'(t))+ g(y(t-τ(t)))=e(t) is studied. Some new results on the existence of periodic solutions are obtained. |
| Keywords: | Continuation theorem of coincidence degree principle Rayleigh equation Deviating argument |
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