GENERALIZED SOLUTION FOR A MIXED NONLOCAL SYSTEM OF WAVE EQUATIONS

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Published: 2017-03-04

Page: 1-18


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


How to Cite

RAPOSO, C. A., PEREIRA, D. C., RIVERA, J. E. M., & MARANHÃO, C. H. (2017). GENERALIZED SOLUTION FOR A MIXED NONLOCAL SYSTEM OF WAVE EQUATIONS. Asian Journal of Mathematics and Computer Research, 16(1), 1–18. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/808

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