Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind
- Authors: Zaitseva N.V.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 38, No 1 (2017)
- Pages: 162-169
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198825
- DOI: https://doi.org/10.1134/S199508021701022X
- ID: 198825
Cite item
Abstract
We consider a boundary value problem for a hyperbolic equation in a rectangular domain with non-complete boundary data and integral boundary value conditions of the first kind. The existence and uniqueness of solution of the problem are established bymeans of the spectralmethod. The solution is obtained in the form of the Fourier–Bessel series. Its convergence is proved in the class of regular solutions.
About the authors
N. V. Zaitseva
Kazan (Volga Region) Federal University
Author for correspondence.
Email: n.v.zaiceva@yandex.ru
Russian Federation, Kremlevskaya ul. 35, Kazan, 420008