非平凡周期解的存在与唯一性

The Existence and Uniqueness of Non-Trivial Periodic Sulotion

本文应用非线性泛函分析中关于锥的理论，讨论了一类高维非线性系统的非平凡周期解的存在性、唯一性问题，得到了判别非平凡周期解存在、唯一的充分条件。

n this paper,using the convex cone theory of nonlinear functional analysis,the existence and uniqueness of non--trivial periodic solution of a class of high order nonlinear system is discussed,and the sufficient condition of 'verifying the existence and uniqueness of non-trivial periodic solution is obtained.