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Mixed problem for a nonlinear hyperbolic equation in a domain unbounded with respect to space variables

We investigate the first mixed problem for a quasilinear hyperbolic equation of the second order with power nonlinearity in a domain unbounded with respect to space variables. We consider the case of an arbitrary number of space variables. We obtain conditions for the existence and uniqueness of t...

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Bibliographic Details
Date:	2007
Main Authors:	Lavrenyuk, S. P., Pukach, P. Ya., Лавренюк, С. П., Пукач, П. Я.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3408
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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