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

Praveen Agarwal; Umida Baltaeva; Umrbek Madrakhimov; Jamol I. Baltaev

doi:10.17586/2220-8054-2024-15-4-448-456

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

Praveen Agarwal
, Umida Baltaeva
, Umrbek Madrakhimov
, Jamol I. Baltaev

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
Khorezm Mamun Academy
Urgench State University
RANCH University of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	448-456
Number of pages	9
Journal	Nanosystems: Physics, Chemistry, Mathematics
Volume	15
Issue number	4
DOIs	https://doi.org/10.17586/2220-8054-2024-15-4-448-456
State	Published - Aug 2024

Keywords

Cauchy problem
S Integro-dierential equation
loaded equation
nonlocal problem

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10.17586/2220-8054-2024-15-4-448-456

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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.",

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AU - Agarwal, Praveen

AU - Baltaeva, Umida

AU - Madrakhimov, Umrbek

AU - Baltaev, Jamol I.

N1 - Publisher Copyright: © Praveen Agarwal, Umida Baltaeva, Umrbek Madrakhimov, Jamol I. Baltaev, 2024.

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AB - 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.

KW - Cauchy problem

KW - S Integro-dierential equation

KW - loaded equation

KW - nonlocal problem

UR - https://www.scopus.com/pages/publications/85203383774

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JF - Nanosystems: Physics, Chemistry, Mathematics

IS - 4

ER -

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

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