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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 4, Pages 911–923
DOI: https://doi.org/10.33048/smzh.2022.63.416 (Mi smj7703) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Functional-differential equations with dilation and symmetry

L. E. Rossovskiia, A. A. Tovsultanovb

a Peoples' Friendship University of Russia, Moscow
b Chechen State University, Grozny
Full-text PDF (349 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2022.63.416
Abstract: We examine the Dirichlet problem in a bounded plane domain for a strongly elliptic functional-differential equation of the second order containing the argument transformations $x\mapsto px$ ($p>0$) and $x\mapsto-x$ in higher-order derivatives. The study of solvability of the problem relies on a Gårding-type inequality for which some necessary and sufficient conditions are obtained in algebraic form.
Keywords: elliptic functional-differential equation, boundary value problem, Gårding-type inequality.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-223/3 (FSSF-2020-0018)
The authors were supported by the Ministry for Education and Science of the Russian Federation within the framework of the State Task (Grant no. 075–03–2020–223/3) (FSSF–2020–0018).
Received: 26.09.2021
Revised: 09.04.2022
Accepted: 15.04.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 4, Pages 758–768
DOI: https://doi.org/10.1134/S0037446622040164
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.929
MSC: 35R30
Language: Russian
Citation: L. E. Rossovskii, A. A. Tovsultanov, “Functional-differential equations with dilation and symmetry”, Sibirsk. Mat. Zh., 63:4 (2022), 911–923; Siberian Math. J., 63:4 (2022), 758–768
Citation in format AMSBIB
\Bibitem{RosTov22}
\by L.~E.~Rossovskii, A.~A.~Tovsultanov
\paper Functional-differential equations with dilation and symmetry
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 4
\pages 911--923
\mathnet{http://mi.mathnet.ru/smj7703}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4460475}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 4
\pages 758--768
\crossref{https://doi.org/10.1134/S0037446622040164}
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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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