Geodesic
Problem of the Propagation of Waves in an Inhomogeneous Medium with Memory
Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 436-447

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A certain wave equation for a medium with memory is considered. Its classical solution is constructed by using the classical solution of the transport system and the propagating wave formula.
Keywords: wave equation, inhomogeneous medium with memory, transport system, Kelvin–Voight law of viscoelastic oscillations. 
A. N. Tsaritsanskiy. Problem of the Propagation of Waves in an Inhomogeneous Medium with Memory. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 436-447. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a11/
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[1] A. A. Gavrikov, A. S. Shamaev, “Nekotorye voprosy akustiki emulsii”, Tr. sem. im. I. G. Petrovskogo, 28, Izd-vo Mosk. un-ta, M., 2011, 114–146 | Zbl

[2] A. V. Borovskikh, “Metod rasprostranyayuschikhsya voln dlya odnomernoi neodnorodnoi sredy”, Tr. sem. im. I. G. Petrovskogo, 24, Izd-vo Mosk. un-ta, M., 2004, 3–43

[3] A. V. Borovskikh, A. N. Tsaritsanskii, “Formula rasprostranyayuschikhsya voln dlya sredy s pamyatyu”, Differents. uravneniya, 48 (2012), 901–902

[4] A. N. Tsaritsanskii, “Formula rasprostranyayuschikhsya voln dlya neodnorodnoi sredy s pamyatyu”, Differents. uravneniya (to appear)