Article

A Cauchy Problem for a Third-Order Pseudo-Parabolic Equation with the Bessel Operator

С. М. СитникBelgorod State National Research University, 308015, Belgorod, RussiaSh. T. KarimovFergana State University, 150100, Fergana, UzbekistanKh. A. YulbarsovFergana State University, 150100, Fergana, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

This article investigates the Cauchy problem for a third-order pseudo-parabolic equation with a Bessel operator. Using the Erdélyi–Kober operator transformation, the Riemann’s function for this equation is constructed, which is expressed through the hypergeometric Kampé de Fériet function. In particular, we obtain the Riemann’s function for a one-dimensional pseudo-parabolic equation.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods advanced mathematical theories

Identifiers

DOI: 10.1134/s1995080224605241

Citations and references

Cited by 021 references

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