全局同胚与周期扰动守恒系统解的存在与唯一性

摘要

In this paper,a new set of sufficient conditions related to an initial value problem and global homeomorphism are given in discussing the homeomorphism between Banach spaces and the existence of a unique 2π- periodic solution of the Newtonian equation of motion.Some existent results on the global homeomorphism and on the existence of solutions of the above equation are generalized.%本文研究了Banach空间的全局同胚理论,作为应用给出了周期扰动守恒系统存在唯一周期解的充分条件,推广了关于全局同胚理论和上述系统解存在唯一的一些结果.