Theoretical and Applied Mechanics
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


Theor. Appl. Mech.:
Year:
Volume:
Issue:
Page:
Find




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

Theoretical and Applied Mechanics, 2021, Volume 48, Issue 1, Pages 53–66
DOI: https://doi.org/10.2298/TAM200703002O (Mi tam105) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Existence and stability results of a nonlinear Timoshenko equation with damping and source terms

Amar Ouaoua, Aya Khaldi, Messaoud Maouni

Laboratory of Applied Mathematics and History, and Didactics of Mathematics (LAMAHIS), University of August 20, 1955, Skikda, Algeria
Full-text PDF (542 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.2298/TAM200703002O
Abstract: In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo–Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time. Finally, the stability result is established based on Komornik's integral inequality.
Keywords: Timoshenko equation, Faedo-Galerkin method, global existence, stability solution.
Received: 03.07.2020
Accepted: 28.10.2020
Document Type: Article
MSC: 35B40; 35L70; 35L10
Language: English
Citation: Amar Ouaoua, Aya Khaldi, Messaoud Maouni, “Existence and stability results of a nonlinear Timoshenko equation with damping and source terms”, Theor. Appl. Mech., 48:1 (2021), 53–66
Citation in format AMSBIB
\Bibitem{OuaKhaMao21}
\by Amar~Ouaoua, Aya~Khaldi, Messaoud~Maouni
\paper Existence and stability results of a nonlinear Timoshenko equation with damping and source terms
\jour Theor. Appl. Mech.
\yr 2021
\vol 48
\issue 1
\pages 53--66
\mathnet{http://mi.mathnet.ru/tam105}
\crossref{https://doi.org/10.2298/TAM200703002O}
Linking options:
  • https://www.mathnet.ru/eng/tam105
  • https://www.mathnet.ru/eng/tam/v48/i1/p53
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theoretical and Applied Mechanics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025