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Nanosystems: Physics, Chemistry, Mathematics, 2024, Volume 15, Issue 4, Pages 448–456
DOI: https://doi.org/10.17586/2220-8054-2024-15-4-448-456 (Mi nano1287) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

The Cauchy problem for a high-order wave equation with a loaded convolution type

Praveen Agarwalab, Umida Baltaevacd, Umrbek Madrakhimovd, Jamol I. Baltaeve

a Department of Mathematics, Anand International College of Engineering, Jaipur, India
b Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
c Department of Exact sciences, Khorezm Mamun Academy, Khiva, Uzbekistan
d Department of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench, Uzbekistan
e Department of Technology, RANCH University of Technology, Urgench, Uzbekistan
Full-text PDF (2055 kB) Citations (2)
DOI: https://doi.org/10.17586/2220-8054-2024-15-4-448-456
Abstract: The present paper is devoted to the problem for one of the loaded wave integro-differential equations, which is equivalent to the nonlocal problem for a higher-order wave equation. The study aims at nonlocal problems and constructs a representation of the solution to the problem for an equation of hyperbolic type. Also, the paper provides examples of some cases where it will be possible to construct solutions to the problem explicitly and in the graphs.
Keywords: Integro-dierential equation, Cauchy problem, loaded equation, nonlocal problem.
Received: 19.07.2024
Revised: 27.07.2024
Accepted: 28.07.2024
Bibliographic databases:
Document Type: Article
Language: English
Citation: Praveen Agarwal, Umida Baltaeva, Umrbek Madrakhimov, Jamol I. Baltaev, “The Cauchy problem for a high-order wave equation with a loaded convolution type”, Nanosystems: Physics, Chemistry, Mathematics, 15:4 (2024), 448–456
Citation in format AMSBIB
\Bibitem{AgaБалMad24}
\by Praveen~Agarwal, Umida~Baltaeva, Umrbek~Madrakhimov, Jamol~I.~Baltaev
\paper The Cauchy problem for a high-order wave equation with a loaded convolution type
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2024
\vol 15
\issue 4
\pages 448--456
\mathnet{http://mi.mathnet.ru/nano1287}
\crossref{https://doi.org/10.17586/2220-8054-2024-15-4-448-456}
\elib{https://elibrary.ru/item.asp?id=69035653}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Nanosystems: Physics, Chemistry, Mathematics
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