| 一类具变参数的p-Laplacian中立型泛函微分方程反周期解的存在性 |
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| 引用本文： | 梁峰,鲁世平. 一类具变参数的p-Laplacian中立型泛函微分方程反周期解的存在性[J]. 应用数学, 2009, 22(3) |
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| 作者姓名： | 梁峰 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 |
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| 基金项目： | Ministry of Education of Science and Technology of Important Projects，Natural Science Foundation of Anhui Province of China，Key Natural Science Foundation by the Bureau of Education of Anhui Province in China |
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| 摘 要： | 应用Leray Schauder 不动点定理,研究了一类具变参数的p-Laplacian中立型泛函微分方程(φp(x′(t)-c(t)x′(t-r)))′=f(x′(t))+β(t)g(x(t-τ(t)))+e(t)的反周期解问题,得到了反周期解存在的新的结果.
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| 关 键 词： | 反周期解 中立型泛函微分方程 Schauder不动点定理 |
The Existence of Anti-periodic Solutions to a p-Laplacian Neutral Functional Differential Equation with a Variable Parameter |
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| LIANG Feng,LU Shi-ping. The Existence of Anti-periodic Solutions to a p-Laplacian Neutral Functional Differential Equation with a Variable Parameter[J]. Mathematica Applicata, 2009, 22(3) |
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| Authors: | LIANG Feng LU Shi-ping |
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| Abstract: | By means of Leray Schauder fixed point theorem,a kind of p-Laplacian neutral functional differential equation with a variable parameter as follows:(φ_p(x′(t)-c(t)x′(t-r)))′=f(x′(t))+β(t)g(x(t-τ(t)))+e(t) is studied.A new result on the existence of anti-periodic solution is obtained.The interest is that the approaches used to study the existence of anti-periodic solutions are different from the corresponding ones of known literature,and that the coefficient c(t) can change sign. |
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| Keywords: | Leray Anti-periodic solution Neutral functional differential equation Leray Schauder fixed point theorem |
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