| 一类具有分布时滞的p-Laplacian中立型泛函微分方程周期解的存在性 |
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| 引用本文： | 黄祖达,熊万民,贾仁伟. 一类具有分布时滞的p-Laplacian中立型泛函微分方程周期解的存在性[J]. 海南大学学报(自然科学版), 2011, 29(1): 11-19 |
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| 作者姓名： | 黄祖达 熊万民 贾仁伟 |
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| 作者单位： | 湖南文理学院,数学与计算科学学院,湖南,常德,415000 |
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| 基金项目： | 国家自然科学基金，湖南文理学院芙蓉学院重点 |
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| 摘 要： | 利用Mawhin延拓定理和泛函分析的知识,获得了一类具有分布时滞的p-Laolacian中立型泛函微分方程(φp(x(t)-cx(t-σ)′)′+f(t,x′(t))+β(t)g(∫0-rx(t+s)dm(s))=e(t)周期解存在性新的充分条件,推广和改进了已有文献的相关结论,提出β(t)可变号.
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| 关 键 词： | 分布时滞 p-Laplacian中立型泛函微分方程 周期解 Mawhin重合度 |
Periodic Solutions for a Class of p-Laplacian Neutral Functional Differential Equation with Distributed |
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| HUANG Zu-da,XIONG Wan-min,JIA Ren-wei. Periodic Solutions for a Class of p-Laplacian Neutral Functional Differential Equation with Distributed[J]. Natural Science Journal of Hainan University, 2011, 29(1): 11-19 |
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| Authors: | HUANG Zu-da XIONG Wan-min JIA Ren-wei |
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| Affiliation: | (College of Maths.& Computing Science,Hunan University for Arts and Science,Changde 415000,China) |
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| Abstract: | Mawhin coincidence degree theory and widely function-analysis’s knowledge were used to obtain new sufficient condition of periodic solutions for a class of p-Laplacian neutral functional differential equation with distributed as follows: (φp(x(t)-cx(t-σ))′)′+f(t,x′(t))+β(t)g∫0-rx(t+s)dm(s)=e(t) The results improved the related reports in the literatures,and the coefficient β(t) was proposed. |
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| Keywords: | distributed p-Laplacian neutral functional differential equation periodic solutions Mawhin coincidence degree |
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