| 具偏差变元Rayleigh型p-Laplacian中立型微分方程周期解的存在性 |
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| 引用本文： | 邱本花,姚青华.具偏差变元Rayleigh型p-Laplacian中立型微分方程周期解的存在性[J].河南教育学院学报(自然科学版),2011(4):15-19. |
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| 作者姓名： | 邱本花 姚青华 |
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| 作者单位： | 郑州科技学院基础部 |
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| 基金项目： | 河南省基础与前沿技术研究计划资助项目(082300410070) |
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| 摘 要： | 利用Mawhin连续定理和一些分析方法,证明了p-Laplacian中立型微分方程(φp(x(t)-cx(t-σ))’)'=f(t,x'(t))+g(t,x(t-τ(t)))-e(t)周期解的存在性.
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| 关 键 词： | 周期解 Rayleigh中立型微分方程 p-Laplacian算子 偏差变元 |
Existence of Periodic Solution for Rayleigh Type p-Laplacian Neutral Function Differential Equation with Deviation Arguments |
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| QIU Ben-hua,YAO Qing-hua.Existence of Periodic Solution for Rayleigh Type p-Laplacian Neutral Function Differential Equation with Deviation Arguments[J].Journal of Henan Education Institute(Natural Science Edition),2011(4):15-19. |
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| Authors: | QIU Ben-hua YAO Qing-hua |
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| Institution: | (Department of Basic Courses,Zhengzhou College of Science and Technology,Zhengzhou 450064,China) |
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| Abstract: | Using Mawhin’s continuation theory and some analysis methods,the existence of periodic solutions of the p-Laplacian neutral function differential equation,(φp(x′(t)-c×(t-σ))′)′=f(x′(t))+g(t,x(t-τ(t)))=e(t),is proved. |
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| Keywords: | periodic solution Rayleigh neutr function differential equation p-Laplacian operator deviating argument |
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