Loading [MathJax]/jax/output/SVG/config.js
Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 168, Pages 9–14
DOI: https://doi.org/10.36535/0233-6723-2019-168-9-14 (Mi into496) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Parameter stability under constant perturbations

V. V. Abramov, S. A. Belman, E. Yu. Liskina

Ryazan State University S. A. Esenin
Full-text PDF (164 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2019-168-9-14
Abstract: For a normal periodic system of ordinary differential equations with a small parameter, we examine the stability property of the origin under the assumption that the right-hand side of the system has a critical linear approximation. The stability conditions are formulated in terms of estimates of the monodromy operator.
Keywords: differential equation, small parameter, stability, permanent perturbation, monodromy operator, periodic solution.
Document Type: Article
UDC: 517.925.51
MSC: 34D20, 34C25
Language: Russian
Citation: V. V. Abramov, S. A. Belman, E. Yu. Liskina, “Parameter stability under constant perturbations”, Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168, VINITI, Moscow, 2019, 9–14
Citation in format AMSBIB
\Bibitem{AbrBelLis19}
\by V.~V.~Abramov, S.~A.~Belman, E.~Yu.~Liskina
\paper Parameter stability under constant perturbations
\inbook Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25--28, 2018. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 168
\pages 9--14
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into496}
\crossref{https://doi.org/10.36535/0233-6723-2019-168-9-14}
Linking options:
  • https://www.mathnet.ru/eng/into496
  • https://www.mathnet.ru/eng/into/v168/p9
    • This publication is cited in the following 1 articles:
    1. V. V. Abramov, “K probleme ustoichivosti nulevogo resheniya periodicheskoi sistemy obyknovennykh differentsialnykh uravnenii”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 216, VINITI RAN, M., 2022, 3–11  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:157
    Full-text PDF :86
    References:23
     
      Contact us:
    math-net2025_03@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025