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| 具有多个偏差变元的Rayleigh型p-Laplacian泛函微分方程的周期解 | |
| 引用本文： | 汤干文,秦发金,罗朝晖,姚晓洁.具有多个偏差变元的Rayleigh型p-Laplacian泛函微分方程的周期解[J].数学的实践与认识,2012,42(2):177-188. |
| 作者姓名： | 汤干文 秦发金 罗朝晖 姚晓洁 |
| 作者单位： | 1. 广西贺州学院,广西贺州,542088 2. 广西柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 3. 广西百色学院数学与信息工程系,广西百色,533000 |
| 摘 要： | 利用重合度理论中的延拓定理和不等式分析技巧,获得了一类具有多个偏差变元的Rayleigh型p-Laplacian泛函微分方程的周期解存在性的充分条件,推广和改进了已有文献的相关结果. |
| 关 键 词： | 偏差变元 Rayleigh型p-Laplacian泛函微分方程 周期解 重合度 |
Periodic Solutions for Rayleigh Type p-Laplacian Functional Differential Equation with Multiple Deviating Arguments |
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| TANG Gan-wen , QIN Fa-jin , LUO Chao-hui , YAO Xiao-jie.Periodic Solutions for Rayleigh Type p-Laplacian Functional Differential Equation with Multiple Deviating Arguments[J].Mathematics in Practice and Theory,2012,42(2):177-188. | |
| Authors: | TANG Gan-wen QIN Fa-jin LUO Chao-hui YAO Xiao-jie |
| Institution: | 1.Hezhou University,Hezhou 542800,China) (2.Department of Mathematics and Computer Science,Liuzhou Teachers College,Liushou 545004,China) (3.Department of Mathematics and Information Engineering,Baise University,Baise 533000,China) |
| Abstract: | By using a continuation theorem based on coincidence degree theory and inequality technique,some sufficient conditions of periodic solutions are estabUshed for Rayleigh type p-Laplacian neutral functional differential equation with multiple deviating arguments.The results have extend and improved the related reports in the literatures. |
| Keywords: | deviating argument Rayleigh type p-Laplacian functional differential equation periodic solutions coincidence degree |
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