On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation

UDC 517.956.35 We consider a boundary-value problem for a semilinear hyperbolic equation with iterated multidimensional wave operator in the principal part. The theorems on existence, uniqueness, and nonexistence of solutions of this problem are established.

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Bibliographic Details
Date:2019
Main Authors: Midodashvili, B., Kharibegashvili, S., Мидодашвили, Б., Харибегашвили, С.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1503
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal