Periodic Solutions for a Kind of Second-Order Neutral Differential Equation on Time Scales  

作　　者：张莉 杜波 葛渭高 

机构地区：[1]School of Science,Beijing Institute of Technology [2]The Institute of Tourism of Beijing Union University

出　　处：《Journal of Beijing Institute of Technology》2010年第3期375-378,共4页北京理工大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China (10671012);the Doctoral Program Foundation of the Education Ministry of China(20050007011);Scientific Research Fund of Heilongjiang Provincial Education

摘　　要：In this paper,the existence of periodic solutions and nonnegative periodic solutions for a kind of second-order neutral differential equation on time scales is considered.The partial increment is a fixed constant if the time scale is the real number set and is a multiple of the periodic of the time scale if the time scale is not the real number set.By means of a fixed point theorem due to Krasnoselskii,some sufficient conditions are obtained.In this paper,the existence of periodic solutions and nonnegative periodic solutions for a kind of second-order neutral differential equation on time scales is considered.The partial increment is a fixed constant if the time scale is the real number set and is a multiple of the periodic of the time scale if the time scale is not the real number set.By means of a fixed point theorem due to Krasnoselskii,some sufficient conditions are obtained.

关 键 词：time scale periodic solutions neutral fixed point theorem 

分 类 号：O175.8[理学—数学]