Geodesic
Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models”
The Bulletin of Irkutsk State University. Series Mathematics, Tome 32 (2020), pp. 118-123 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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, regularization, Lyapunov-Schmidt method.
Mots-clés : bifurcation 
@article{IIGUM_2020_32_a8,
     author = {N. A. Sidorov and D. N. Sidorov and A. V. Sinitsyn},
     title = {Review of monograph {{\textquotedblleft}Toward} {General} {Theory} of {Differential-Operator} and {Kinetic} {Models{\textquotedblright}}},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {118--123},
     year = {2020},
     volume = {32},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2020_32_a8/}
}
TY  - JOUR
AU  - N. A. Sidorov
AU  - D. N. Sidorov
AU  - A. V. Sinitsyn
TI  - Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models”
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2020
SP  - 118
EP  - 123
VL  - 32
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2020_32_a8/
LA  - ru
ID  - IIGUM_2020_32_a8
ER  - 
%0 Journal Article
%A N. A. Sidorov
%A D. N. Sidorov
%A A. V. Sinitsyn
%T Review of monograph “Toward General Theory of Differential-Operator and Kinetic Models”
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2020
%P 118-123
%V 32
%U http://geodesic.mathdoc.fr/item/IIGUM_2020_32_a8/
%G ru
%F IIGUM_2020_32_a8
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, Tome 32 (2020), pp. 118-123. http://geodesic.mathdoc.fr/item/IIGUM_2020_32_a8/

[1] Sidorov N., Sidorov D., Sinitsyn A., Toward General Theory of Differential-Operator and Kinetic Models, World Scientific Series on Nonlinear Science Series A, 97, ed. L. Chua, World Scientific, S'pore, 2020, 400 pp. | DOI | MR | Zbl

[2] Sidorov N., Loginov B., Sinitsyn A., Falaleev M., Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications, Mathematics and Its Applications, 550, Kluwer, 2002, 548 pp. | DOI | MR | Zbl

[3] Sidorov D., Integral Dynamical Models: Singularities, Signals Control, World Scientific Series on Nonlinear Science Series A, 87, World Scientific, S'pore, 2015, 300 pp. | DOI | MR | Zbl