| 一类具有多个偏差变元的二阶中立型泛函微分方程的周期解 |
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| 引用本文： | 罗芳琼,姚晓洁,秦发金.一类具有多个偏差变元的二阶中立型泛函微分方程的周期解[J].数学的实践与认识,2012,42(20). |
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| 作者姓名： | 罗芳琼 姚晓洁 秦发金 |
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| 作者单位： | 1. 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
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;四川大学数学学院,四川成都610064 |
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| 摘 要： | 利用重合度理论,获得了一类具有多个偏差变元的二阶中立型泛函微分方程(d~2)/(dt~2)(u(t)-(sum from j=1 to n)c_ju(t-r_j))=f(u(t))u′(t)+α(t)g(u(t))+(sum from j=1 to n)β_j(t)g(u(t-γ_j(t)))+p(t)周期解存在性的新的充分条件,改进了已有文献的相关结果.
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| 关 键 词： | 偏差变元 二阶中立型泛函微分方程 周期解 重合度 |
Periodic Solutions for A Kind of Second-order Neutral Functional Differential Equation with Multiple Deviating Arguments |
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| LUO Fang-qiong
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YAO Xiao-jie
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QIN Fa-jin.Periodic Solutions for A Kind of Second-order Neutral Functional Differential Equation with Multiple Deviating Arguments[J].Mathematics in Practice and Theory,2012,42(20). |
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| Authors: | LUO Fang-qiong YAO Xiao-jie QIN Fa-jin |
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| Abstract: | By using a continuation theorem based on coincidence degree theory and inequality technique,some new sufficient conditions of periodic solutions are established for second-order neutral functional differential equation with multiple deviating arguments as follows (d~2)/(dt~2)(u(t)-(sum from j=1 to n)c_ju(t-r_j))=f(u(t))u′(t)+α(t)g(u(t))+(sum from j=1 to n)β_j(t)g(u(t-γ_j(t)))+p(t) The results have improved the related reports in the literatures. |
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| Keywords: | deviating argument second-order neutral functional differential equation periodic solutions coincidence degree |
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