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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 332–337
DOI: https://doi.org/10.33048/semi.2021.18.022 (Mi semr1363) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

On a nonlinear differential equation in a Banach space

M. I. Besova, V. I. Kachalov

National Research University «MPEI», 14, Krasnokazarmennaya str., Moscow, 111250, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.022
Abstract: An Navier-Stokes type equation is considered for which a generalized solution is constructed in the form of a series in powers of a specially introduced parameter and its convergence is proved. An example of a mixed problem for the Burgers equation is given.
Keywords: equations of Navier-Stokes type, Burgers equation, generalized solution, holomorphic dependence of a solution on a parameter.
Received February 17, 2020, published March 30, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.956.8
MSC: 35L05, 35K03, 35J05, 35J10
Language: Russian
Citation: M. I. Besova, V. I. Kachalov, “On a nonlinear differential equation in a Banach space”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 332–337
Citation in format AMSBIB
\Bibitem{BesKac21}
\by M.~I.~Besova, V.~I.~Kachalov
\paper On a nonlinear differential equation in a Banach space
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 332--337
\mathnet{http://mi.mathnet.ru/semr1363}
\crossref{https://doi.org/10.33048/semi.2021.18.022}
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  • https://www.mathnet.ru/eng/semr/v18/i1/p332
    • This publication is cited in the following articles:
    1. V. I. Kachalov, “Pseudoholomorphic and $\varepsilon $-Pseudoregular Solutions of Singularly Perturbed Problems”, Diff Equat, 58:3 (2022), 357  crossref
    2. Dana Bibulova, Burkhan Kalimbetov, Valeriy Safonov, “Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity”, Axioms, 11:3 (2022), 141  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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