【摘要】 研究了一类广义耦合的非线性波动方程组关于时间周期解的问题·　首先利用Galerkin方法构造近似时间周期解序列,然后利用先验估计和Laray＿Schauder不动点原理,证明近似时间周期解序列的收敛性,从而得到该问题时间周期解的存在性·更多还原

【Abstract】 The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.By using the Galerkin method to construct the approximating sequence of time periodic solutions,a priori estimate and Laray_Schauder fixed point theorem to prove the convergence of the approximate solutions, the existence of time periodic solutions for a damped generalized coupled nonlinear wave equations can be obtained.更多还原