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 2, Pages 257–272
DOI: https://doi.org/10.2298/TAM201123013G (Mi tam101) 		 
Classical solutions for a class of nonlinear wave equations

Svetlin Georgieva, Karima Mebarkib, Khaled Zennircd

a Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria
b Laboratory of Applied Mathematics, Faculty of Exact Sciences, University of Bejaia, Bejaia, Algeria
c Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma, Guelma, Algérie
d Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia
Full-text PDF (551 kB)
References:
PDF
HTML
DOI: https://doi.org/10.2298/TAM201123013G
Abstract: We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral representation of the solutions for the considered initial value problems and using this integral representation we establish existence of classical solutions for the considered classes of nonlinear wave equations.
Keywords: hyperbolic equations, nonnegative solution, fixed point, cone, sum of operators.
Funding agency
The second author acknowledges support of “Direction Générale de la Recherche Scientifique et du Développement Technologique (DGRSDT)”, MESRS, Algeria.
Received: 23.11.2020
Accepted: 01.10.2021
Bibliographic databases:
Document Type: Article
UDC: 47H10, 58J20
Language: English
Citation: Svetlin Georgiev, Karima Mebarki, Khaled Zennir, “Classical solutions for a class of nonlinear wave equations”, Theor. Appl. Mech., 48:2 (2021), 257–272
Citation in format AMSBIB
\Bibitem{GeoMebZen21}
\by Svetlin~Georgiev, Karima~Mebarki, Khaled~Zennir
\paper Classical solutions for a class of nonlinear wave equations
\jour Theor. Appl. Mech.
\yr 2021
\vol 48
\issue 2
\pages 257--272
\mathnet{http://mi.mathnet.ru/tam101}
\crossref{https://doi.org/10.2298/TAM201123013G}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124729038}
Linking options:
  • https://www.mathnet.ru/eng/tam101
  • https://www.mathnet.ru/eng/tam/v48/i2/p257
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theoretical and Applied Mechanics
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :43
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024