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Problem of the propagation of waves in an inhomogeneous medium with memory

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Abstract

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.

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References

  1. A. A. Gavrikov and A. S. Shamaev, “Some problems in acoustics of emulsions,” in Trudy Sem. Petrovsk. (Izd. Moskov. Univ., Moscow, 2011), Vol. 28, pp. 114–146 [J. Math. Sci., New York 179 (3), 415–436 (2011)].

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  2. A. V. Borovskikh, “The propagating wave method for a one-dimensional inhomogeneous medium,” in Trudy Sem. Petrovsk. (Izd. Moskov. Univ., Moscow, 2004), Vol. 24, pp. 3–43 [in Russian].

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  3. A. V. Borovskikh and A. N. Tsaritsanskii, “The propagating wave formula for a medium with memory,” Differ. Uravn. 48, 901–902 (2012).

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  4. A. N. Tsaritsanskii, “The propagating wave formula for an inhomogeneous medium with memory,” Differ. Uravn. (in press).

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Correspondence to A. N. Tsaritsanskii.

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Original Russian Text © A. N. Tsaritsanskii, 2015, published in Matematicheskie Zametki, 2015, Vol. 98, No. 3, pp. 436–447.

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Tsaritsanskii, A.N. Problem of the propagation of waves in an inhomogeneous medium with memory. Math Notes 98, 492–502 (2015). https://doi.org/10.1134/S0001434615090151

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  • DOI: https://doi.org/10.1134/S0001434615090151

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