| We determine the coefficient q(x)in the inverse problem of generaI Cauchy problem ofhyperbolic equation Uxy(x,y)+a(x,y)Ux(x,y)+b(x,y)+Uy(x,y)+q(x)U(x,y)=f(x,y).The nonline integral equations which is equivalent to the inverse problem have been ob-tained and the existence, uniqueness of local solution for the inverse problem has beenproved by the method of characteristic curves and the fixed point theorem. Finally,wegive a theorem on the uniqueness of whole solution for the inverse problem. |
