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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1209–1222
DOI: https://doi.org/10.33048/smzh.2019.60.602 (Mi smj3143) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A general integral of a quasilinear equation and application to a nonlinear characteristic problem

G. G. Baghaturia, M. Z. Menteshashvili

Georgian Technical University
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DOI: https://doi.org/10.33048/smzh.2019.60.602
Abstract: We describe a method for constructing general integrals for some nonstrictly hyperbolic quasilinear equations and prove a nonlinear analog of Asgeirsson’s mean value theorem. Using a general integral, we study the nonlinear version of the Goursat characteristic problem.
Received: 05.10.2018
Revised: 09.03.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 940–951
DOI: https://doi.org/10.1134/S0037446619060028
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: G. G. Baghaturia, M. Z. Menteshashvili, “A general integral of a quasilinear equation and application to a nonlinear characteristic problem”, Sibirsk. Mat. Zh., 60:6 (2019), 1209–1222; Siberian Math. J., 60:6 (2019), 940–951
Citation in format AMSBIB
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\paper A general integral of a quasilinear equation and application to a nonlinear characteristic problem
\jour Sibirsk. Mat. Zh.
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\vol 60
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\pages 1209--1222
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\jour Siberian Math. J.
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\pages 940--951
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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