Geodesic
The Cauchy problem for a high-order wave equation with a loaded convolution type
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 448-456

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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. 
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     author = {Praveen Agarwal and Umida Baltaeva and Umrbek Madrakhimov and Jamol I. Baltaev},
     title = {The {Cauchy} problem for a high-order wave equation with a loaded convolution type},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a1/}
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Praveen Agarwal; Umida Baltaeva; Umrbek Madrakhimov; Jamol I. Baltaev. The Cauchy problem for a high-order wave equation with a loaded convolution type. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 4, pp. 448-456. http://geodesic.mathdoc.fr/item/NANO_2024_15_4_a1/