Existence of time periodic solutions for a damped generalized coupled nonlinear wave equations.

Autor:	Fang Shao-mei, Guo Bo-ling
Předmět:	NONLINEAR wave equations GALERKIN methods FIXED point theory BOUNDARY value problems ESTIMATES STOCHASTIC convergence EXISTENCE theorems
Zdroj:	Applied Mathematics & Mechanics; Jun2003, Vol. 24 Issue 6, p673-683, 11p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink