Pusiau tiesinės hiperbolinės suvidurkintų lygčių sistemos su periodinėmis kraštinėmis sąlygomis tyrimas

Aleksandras  Krylovas; Rima  Kriauzienė

doi:10.15388/LMR.B.2012.04

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.

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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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