Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 156, Pages 106–116 (Mi into402)  
This article is cited in 5 scientific papers (total in 5 papers)

Initial-value problem for a higher-order partial quasilinear differential equation

T. K. Yuldasheva, K. H. Shabadikovb

a M. F. Reshetnev Siberian State University of Science and Technologies
b Ferghana State University
Full-text PDF (184 kB) Citations (5)
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Abstract: We examine an initial-value problem for a certain higher-order partial quasilinear differential equation. Expressing the partial differential operator as the superposition of first-order operator, we apply methods of solution of first-order equations. We prove the unique solvability of the initial-value problem considered.
Keywords: initial-value problem, characteristics, directional derivative, superposition of differential operators, unique solvability.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 6, Pages 811–822
DOI: https://doi.org/10.1007/s10958-021-05343-0
Bibliographic databases:
Document Type: Article
UDC: 517.955.2
MSC: 35A30, 35C15, 35G55, 35L30
Language: Russian
Citation: T. K. Yuldashev, K. H. Shabadikov, “Initial-value problem for a higher-order partial quasilinear differential equation”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 106–116; J. Math. Sci. (N. Y.), 254:6 (2021), 811–822
Citation in format AMSBIB
\Bibitem{YulSha18}
\by T.~K.~Yuldashev, K.~H.~Shabadikov
\paper Initial-value problem for a higher-order partial quasilinear differential equation
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 106--116
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3939201}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 6
\pages 811--822
\crossref{https://doi.org/10.1007/s10958-021-05343-0}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    References:32
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