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The Bulletin of Irkutsk State University. Series Mathematics, 2020, Volume 32, Pages 118–123 (Mi iigum421)  

Reviews

Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models”

N. A. Sidorova, D. N. Sidorovabc, A. V. Sinitsynd

a Irkutsk State University, Irkutsk, Russian Federation
b Irkutsk National Research Technical University, Irkutsk, Russian Federation
c Melentiev Energy Systems Institute SB RAS, Irkutsk, Russian Federation
d Universidad Nacional de Colombia, Bogotá D.C., Colombia

Abstract: The brief review of monograph [Sidorov N., Sidorov D., Sinitsyn A. Toward General Theory of Differential-Operator and Kinetic Models. Book Series: World Scientific Series on Nonlinear Science Series A vol. 97, eds. Prof. L. Chua, World Scientific, Singapore, London, 2020] is provided. This monograph devoted to the state-of-the-art methods for the non-standard classes of differential operator and kinetic equations from a constructive point of view. In addition to the qualitative problems associated with the proof of existence theorems, bifurcation and blow-up of solutions of nonlinear systems, this monograph provides the formulations of the novel initial-boundary value problems in function spaces. Attention is paid to the problem of constructing asymptotic approximations of solutions and numerical-analytical analysis in mathematical modeling.

Keywords: mathematical modeling, nonlinear analysis, plasma, Vlasov-Maxwell equation, bifurcation, regularization, Lyapunov-Schmidt method.

DOI: https://doi.org/10.26516/1997-7670.2020.32.118

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Bibliographic databases:

UDC: 517.9
MSC: 34-02, 35-02, 47-02
Received: 14.04.2020

Citation: N. A. Sidorov, D. N. Sidorov, A. V. Sinitsyn, “Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models””, The Bulletin of Irkutsk State University. Series Mathematics, 32 (2020), 118–123

Citation in format AMSBIB
\Bibitem{SidSidSin20}
\by N.~A.~Sidorov, D.~N.~Sidorov, A.~V.~Sinitsyn
\paper Review of monograph ``Toward General Theory of Differential-Operator and Kinetic Models''
\jour The Bulletin of Irkutsk State University. Series Mathematics
\yr 2020
\vol 32
\pages 118--123
\mathnet{http://mi.mathnet.ru/iigum421}
\crossref{https://doi.org/10.26516/1997-7670.2020.32.118}


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