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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 135–148 (Mi sjim826)  
This article is cited in 3 scientific papers (total in 3 papers)

On the solvability of special systems of one-dimensional loaded parabolic equations and composite-type systems with Cauchy data

I. V. Frolenkov, G. V. Romanenko

Siberian Federal University, 79 Svobodny av., 660041 Krasnoyarsk
Full-text PDF (269 kB) Citations (3)
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Abstract: We study a one-dimensional system of two parabolic loaded equations of special kind and one-dimensional composite-type systems of special kind. Both systems are considered with Cauchy data. We obtain sufficient conditions for the existence of solutions in the class of smooth bounded functions. The method of splitting on the differential level (the weak approximation method) is used in the proof.
Keywords: inverse problem, direct problem, loaded equation, parabolic equation, weak approximation method, system of partial differential equations, composite-type system.
Received: 10.10.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 2, Pages 196–207
DOI: https://doi.org/10.1134/S1990478914020069
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. V. Frolenkov, G. V. Romanenko, “On the solvability of special systems of one-dimensional loaded parabolic equations and composite-type systems with Cauchy data”, Sib. Zh. Ind. Mat., 17:1 (2014), 135–148; J. Appl. Industr. Math., 8:2 (2014), 196–207
Citation in format AMSBIB
\Bibitem{FroRom14}
\by I.~V.~Frolenkov, G.~V.~Romanenko
\paper On the solvability of special systems of one-dimensional loaded parabolic equations and composite-type systems with Cauchy data
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 1
\pages 135--148
\mathnet{http://mi.mathnet.ru/sjim826}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379261}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 2
\pages 196--207
\crossref{https://doi.org/10.1134/S1990478914020069}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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