A MIXED PROBLEM FOR SYSTEMS OF SEMILINEAR HYPERBOLIC EQUATIONS WITH NONLINEAR DISSIPATION AND NONLINEAR SOURCE

We study a mixed problem for systems of semilinear hyperbolic equations with nonlinear dissipation and focusing, as well as with ‘defocusing’ sources. Using the combined method of regularization and the Galerkin method, the theorem of local solvability is proved. For systems with a focusing source,...

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Bibliographic Details
Main Author: Рустамова Самира Октай кызы
Format: Article
Language:Russian
Published: Moscow Region State University Editorial Office 2017-01-01
Series:Вестник московского государственного областного университета. Серия: Физика-математика
Online Access:http://vestnik-mgou.ru/Articles/View/11455