The research of semi-linear hyperbolic system of averaged equations with periodic boundary conditions
Articles
Aleksandras Krylovas
Vilniaus Gedimino technikos universitetas
Rima Kriauzienė
Mykolo Romerio universitetas
Published 2012-12-25
https://doi.org/10.15388/LMR.B.2012.04
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Keywords

asymptotical analysis
averaging
interaction of waves
boundary condition
resonance
the systems of hyperbolic equations

How to Cite

Krylovas A. and Kriauzienė R. (2012) “The research of semi-linear hyperbolic system of averaged equations with periodic boundary conditions”, Lietuvos matematikos rinkinys, 53(B), pp. 19–24. doi: 10.15388/LMR.B.2012.04.

Abstract

In this paper weakly non-linear hyperbolic system of the first order differential equations with boundary conditions is studied. The averaged system of integro-differential equations along the characteristics is contructed. The aim of this paper is to get the conditions for the existence of classic solution to mentioned averaged problem.

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