摘要
文中利用指数型二分法,结合不动点定理考虑如下形式的中立型高维周期系统:d/dt[x(t)+cx1]=A(t,x(t))x(t)+f(t,x),得到其T-周期解存在的充分性条件,所得结论改进或推广了早先文献中周期解存在的相应结论.
In this paper, by using exponential dictomy and fixed point method, we consider the following higher ddimensional periodic system of neutral type of the form：d/dt[x（t）＋cx1]=A（t,x（t））x（t）＋f（t,x,） and get some sufficient conditions to guarantee the existence of T-periodic solutions for the system. The corresponding results on the existence of periodic solutions before are extended and improved.
出处
《海军航空工程学院学报》
2005年第4期492-496,共5页
Journal of Naval Aeronautical and Astronautical University
关键词
中立型
周期解
不动点
指数二分性
neutral type
periodic solutions
fixed points
exponential dictomy
