| 三阶p-Laplacian方程的周期解问题 |
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| 引用本文： | 程君,鲁世平. 三阶p-Laplacian方程的周期解问题[J]. 安徽师范大学学报(自然科学版), 2009, 32(4): 311-315 |
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| 作者姓名： | 程君 鲁世平 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000;安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | Supported by the NSF of Anhui Province of China(No.2005kj031ZD;No.050460103). |
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| 摘 要： | 利用重合度拓展理论和一些分析技巧研究了如下的三阶 p- Laplacian方程的周期解问题 (φp(x″(t)))′+f(t,x′(t-σ(t)))+g(t,x(t-τ(t)))=e(t), 得到了其解的存在性的一些新结果.
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| 关 键 词： | 周期解 重合度拓展理论 偏差变元 |
Periodic Solutions for a Third Order p-Laplacian Equation |
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| CHENG Jun,LU Shi-ping. Periodic Solutions for a Third Order p-Laplacian Equation[J]. Journal of Anhui Normal University(Natural Science Edition), 2009, 32(4): 311-315 |
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| Authors: | CHENG Jun LU Shi-ping |
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| Affiliation: | CHENG Jun,LU Shiping(College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | By employing Mawhin's continuation theorem and some analysis techniques, we study the existence of periodic solutions of the p- Laplacian equation with deviating argument as follows:(φp(x″(t)))′+f(t,x′(t-σ(t)))+g(t,x(t-τ(t)))=e(t). Some new results on the existence of periodic solutions are obtained. |
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| Keywords: | periodic solutions Mawhin's continuation theorem deviating argument |
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