滞后中立型高维周期系统周期解的存在性  

THE EXISTENCE OF PERIODIC SOLUTIONS TO HIGHER DIMENSIONAL PERIODIC SYSTEM OF NEUTRAL TYPE WITH DELAY

作　　者：汤进龙[1] 

机构地区：[1]扬州大学理学院数学系

出　　处：《扬州大学学报（自然科学版）》1998年第4期7-10,共4页Journal of Yangzhou University：Natural Science Edition

摘　　要：对滞后中立型高维周期系统ｘ′（ｔ）＝Ａ（ｔ，ｘ（ｔ））ｘ（ｔ）＋ｆ（ｔ，ｘ（ｔ－ｒ１））＋Ｂ（ｔ）ｘ′（ｔ－ｒ２），利用不动点方法。In this paper, higher dimensional periodic systems of neutral type with delay of the form: x′(t)=A(t,x(t))x(t)+f(t,x(t-r 1 ))+B(t)x′(t-r 2) are considered. Using fixed point method, some sufficient conditions to guarantee the existence of periodic solution for the systems are obtained .

关 键 词：滞后型 中立型 周期解 存在性 周期系统 

分 类 号：O175.14[理学—数学]