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一类p-Laplacian算子中立型泛函数微分方程周期解的存在性(英文)

Periodic Solutions to a p-Laplacian Neutral Functional Differential Equation
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摘要 本文利用重合度拓展定理,研究了一类p-Laplacian中立型泛函数微分方程(φp((x(t)-c(t)x(t-r))′))′=g(x(t-r(t)))+e(t)。在C(t)变号的情况下,得到了方程周期解存在性的一个新结果。 In this paper,we study the existence of periodic solutions to a p-Laplacian neutral functional differential equation as follows（φp （（x（t） -c（t）x（t-r））＇））＇ =g（x（t-r（t））） ＋e（t）. It is meaningful that c（t） is not a constant function and can change sign, which is different from the corresponding ones of known literature.
作者 梁峰 王磊 鲁世平
机构地区 安徽师范大学数学计算机科学学院
出处 《合肥师范学院学报》 2009年第3期1-5,25,共6页 Journal of Hefei Normal University
基金 This research was supported by Ministry of Education of Science and Technology of I mportant Projects(No.207047) NaturalScience Foundation of Anhui of China(No.050460103) Key Natural Science Foundation bythe Bureau of Education of An-hui Province in China(No.2005kj031ZD).
关键词 拓展定理 中立型泛函微分方程 P-LAPLACIAN算子 可变号 periodic solution continuation theorem Neutral functional differential equation p- Laplacian variable sign
分类号 O177 [理学—基础数学]
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参考文献10

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合肥师范学院学报
2009年 第3期

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