Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 10, Pages 60–70
DOI: https://doi.org/10.26907/0021-3446-2021-10-60-70 (Mi ivm9721) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Initial-boundary value problems for equation of oscillation of a rectangular plate

K. B. Sabitovab

a Sterlitamak Branch of the Institute for Strategic Studies of the Republic of Bashkortostan, 68 Odesskaya str., Sterlitamak, 453103 Russia
b Samara State Technical University, 244 Molodogvardeyskaya str., Samara, 443100, Russia
Full-text PDF (341 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-10-60-70
Abstract: The paper investigates problems with initial conditions for the equation of vibrations of a rectangular plate with different boundary conditions. An energy inequality is established, which implies the uniqueness of the solution of the three initial-boundary value problems. In the case of a hinged plate at the edges, existence and stability theorems for the solution of the problem in the classes of regular and generalized solutions are proved.
Keywords: equation of vibrations of a rectangular plate, initial boundary value problems, energy inequality, uniqueness, series, existence, stability.
Received: 16.11.2020
Revised: 16.11.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 10, Pages 52–62
DOI: https://doi.org/10.3103/S1066369X21100054
Document Type: Article
UDC: 517.95: 624.04
Language: Russian
Citation: K. B. Sabitov, “Initial-boundary value problems for equation of oscillation of a rectangular plate”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10, 60–70; Russian Math. (Iz. VUZ), 65:10 (2021), 52–62
Citation in format AMSBIB
\Bibitem{Sab21}
\by K.~B.~Sabitov
\paper Initial-boundary value problems for equation of oscillation of a rectangular plate
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 10
\pages 60--70
\mathnet{http://mi.mathnet.ru/ivm9721}
\crossref{https://doi.org/10.26907/0021-3446-2021-10-60-70}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 10
\pages 52--62
\crossref{https://doi.org/10.3103/S1066369X21100054}
Linking options:
  • https://www.mathnet.ru/eng/ivm9721
  • https://www.mathnet.ru/eng/ivm/y2021/i10/p60
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025