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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015 Volume 7, Issue 4, Pages 74–76 (Mi vyurm280)

Short communications

On solutions of the wave equation with a minor term

E. Y. Chistyakov

South Ural State University, Chelyabinsk, Russia

Abstract: A correspondence between solutions of the wave equation and the wave equation with a minor term in a star-like domain was obtained. This result is an analogue of the corresponding result obtained earlier for both the Helmholtz equation and the Laplace equation.

Keywords: wave equation; normalized system of functions.

UDC: 517.956.32

Received: 27.06.2015

DOI: 10.14529/mmph150410



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