复合大系统周期解的存在性

The Existence of A Periodic Solution on Large-Scale Systems

本文利用Liapunov函数方法,研究了复合大系统的稳定性。在此基础上,给出了周期复合大系统存在平稳振荡的充分条件,并且给出了非线性周期复合大系统解的有界性和周期解的存在性的充分条件,改进了文[3]-[6]的有关结论。

In that paper, by means of liapunov function, we study the stability of composite system dx/dt=p(t)A(t)x furthemcore, we study the exestence of stationary oscillation of peridic composite, system dx/dt=p(t)A(t)x+f(t) and the boundedness of solution and exestence of periodic solution of periodic composite system dx/dt=g(t)A(t)x+G(t, x).