高维非自治系统非平凡周期解的存在性

THE EXISTENCE OF NON-TRIVAL PERIODIC SOLUTION OF N-DIMENSIONAL NONAUTONOMOUS DIFFERENTIAL SYSTEMS

本文利用非线性泛函分析中锥的理论,讨论了n维非自治系统 x=A(t)x+g(t,x) x∈R^n (1)并得到了系统(1)存在非平凡ω周期解的充分条件。

In this paper, we discuss the existence of periodic solution of n--dimensionalsystem x=A(t)x+g(t,x) x∈R^n (1)and using the convex cone theory of nonlinear functional analysis, the sufficient conditionin which the system (1) has at least one non--trival ω--periodic solution is obtained.