Email this article Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation
- Authors: Khromov A.P.1, Kornev V.V.1
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Affiliations:
- Saratov National Research State University
- Issue: Vol 99, No 1 (2019)
- Pages: 11-13
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225609
- DOI: https://doi.org/10.1134/S1064562419010034
- ID: 225609
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Abstract
A.N. Krylov’s ideas concerning convergence acceleration for Fourier series are used to obtain explicit expressions for the classical solution of a mixed problem for a nonhomogeneous equation and explicit expressions for a weak solution in the case of arbitrary summable \(q(x)\), \(\varphi (x)\), \(\psi (x)\), and \(f(x,t)\).
About the authors
A. P. Khromov
Saratov National Research State University
Author for correspondence.
Email: khromovAP@info.sgu.ru
Russian Federation, Saratov, 410012
V. V. Kornev
Saratov National Research State University
Author for correspondence.
Email: kornevVV@info.sgu.ru
Russian Federation, Saratov, 410012
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