Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 4, Pages 23–30 (Mi vmumm4412)  
This article is cited in 5 scientific papers (total in 5 papers)

Mechanics

Bulgakov problem for a hyperbolic equation and robust stability

V. N. Zhermolenkoa, R. Temoltzi-Avilab

a Gubkin Russian State University of Oil and Gas
b Universidad Autónoma del Estado de Hidalgo, Mexico
Full-text PDF (1769 kB) Citations (5)
References:
PDF
HTML
Abstract: An inhomogeneous wave equation with dissipation in the presence of an external uncertain perturbation is considered. The problem of finding solutions with the maximum possible amplitudes is investigated. A method for solving this problem based on the Fourier method of separating variables and the Bulgakov problem of the maximum deviation of solutions of second-order ordinary differential equations with external uncertain perturbations is proposed. The application of the Fourier method is justified. The robust stability property of the considered wave equation is investigated.
Key words: external perturbations, Fourier series, maximum deviations.
Received: 20.09.2020
English version:
Moscow University Mechanics Bulletin, 2021, Volume 76, Issue 4, Pages 95–104
DOI: https://doi.org/10.3103/S0027133021040051
Bibliographic databases:
Document Type: Article
UDC: 531.396
Language: Russian
Citation: V. N. Zhermolenko, R. Temoltzi-Avila, “Bulgakov problem for a hyperbolic equation and robust stability”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 23–30; Moscow University Mechanics Bulletin, 76:4 (2021), 95–104
Citation in format AMSBIB
\Bibitem{ZheTem21}
\by V.~N.~Zhermolenko, R.~Temoltzi-Avila
\paper Bulgakov problem for a hyperbolic equation and robust stability
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2021
\issue 4
\pages 23--30
\mathnet{http://mi.mathnet.ru/vmumm4412}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2021
\vol 76
\issue 4
\pages 95--104
\crossref{https://doi.org/10.3103/S0027133021040051}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000714031500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118706832}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4412
  • https://www.mathnet.ru/eng/vmumm/y2021/i4/p23
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:103
    Full-text PDF :27
    References:19
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024