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  

Periodic Solutions for A Kind of Second-order Neutral Functional Differential Equation with Multiple Deviating Arguments

作　　者：罗芳琼[1] 姚晓洁[1] 秦发金[1,2] 

机构地区：[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]四川大学数学学院,四川成都610064

出　　处：《数学的实践与认识》2012年第20期167-175,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671133)

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.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）-∑ j=1^ncju（t-rj））=f（u（t））u′（t）＋α（t）g（u（t））＋∑ j=1^nβj（t）g（u（t-rj（t）））＋p（t） The results have improved the related reports in the literatures.

关 键 词：偏差变元 二阶中立型泛函微分方程 周期解 重合度 

分 类 号：O241.8[理学—计算数学]