GENERALIZED SOLUTION FOR A MIXED NONLOCAL SYSTEM OF WAVE EQUATIONS
CARLOS A. RAPOSO *
Federal University of São João del-Rey - UFSJ, 36307-352, São João del-Rey, MG, Brasil.
DUCIVAL C. PEREIRA
State University of Pará - UEPA, 66113-200, Belém, PA, Brasil.
JAIME E. M. RIVERA
National Laboratory for Scientific Computation - LNCC, 25651-075, Petrópolis, RJ, Brasil.
CELSA H. MARANHÃO
Federal University of Pará - UFPA, 66075-110, Belém, PA, Brasil.
*Author to whom correspondence should be addressed.
Abstract
We use the Sobolev spaces as in [1] and then, the existence and uniqueness of a generalized solution is proved applying the classical Faedo-Galerkin method for a mixed system of wave equations with an integral nonlocal condition in a cylinder.
Keywords: Generalized solution, mixed system, integral nonlocal condition, Faedo-Galerkin method