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 67–88
DOI: https://doi.org/10.2298/TAM200629003R (Mi tam106) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic stability with time-varying delay in boundary feedback

Abita Rahmoune

Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria
Full-text PDF (632 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.2298/TAM200629003R
Abstract: In this paper, we investigate a nonlinear viscoelastic equation. By assuming time-varying delay feedback acting on the boundary, under certain assumptions on the given data, the general decay estimates for the energy are established by introducing suitable Lyapunov functionals. This model improves earlier ones in the literature in which only the dissipative term in the feedback condition is considered.
Keywords: general decay, weak viscoelastic equation, time-varying delay.
Funding agency Grant number
Directorate-General for Scientific Research and Technological Development
This research work is supported by the General Direction of Scientific Research and Technological Development (DGRSDT), Algeria.
Received: 29.06.2020
Accepted: 12.12.2020
Document Type: Article
MSC: Primary 93D15; 74J05; Secondary 35L05; 74H40
Language: English
Citation: Abita Rahmoune, “Asymptotic stability with time-varying delay in boundary feedback”, Theor. Appl. Mech., 48:1 (2021), 67–88
Citation in format AMSBIB
\Bibitem{Rah21}
\by Abita~Rahmoune
\paper Asymptotic stability with time-varying delay in boundary feedback
\jour Theor. Appl. Mech.
\yr 2021
\vol 48
\issue 1
\pages 67--88
\mathnet{http://mi.mathnet.ru/tam106}
\crossref{https://doi.org/10.2298/TAM200629003R}
Linking options:
  • https://www.mathnet.ru/eng/tam106
  • https://www.mathnet.ru/eng/tam/v48/i1/p67
    • This publication is cited in the following 3 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