%0 Journal Article %T A nonlinear wave equation with a nonlinear integral equation involving the boundary value %A Thanh Long Nguyen %A Tien Dung Bui %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X We consider the initial-boundary value problem for the nonlinear wave equation $$displaylines{ u_{tt}-u_{xx}+f(u,u_{t})=0,quad xin Omega =(0,1),; 0 Keywords Galerkin method --- integrodifferential equations --- Schauder fixed point theorem --- weak solutions --- stability of the solutions %K Galerkin method %K integrodifferential equations %K Schauder fixed point theorem %K weak solutions %K stability of the solutions %U http://ejde.math.txstate.edu/Volumes/20204/103/abstr.html