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Characteristic boundary-value problem for a third-order equation with pseudo-parabolic operator and with shifted arguments of desired function

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Abstract

We consider a version of the Goursat problem for a third-order equation, which was not studied earlier, and prove its unique solvability.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    E. A. Utkina

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  1. E. A. Utkina
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Correspondence to E. A. Utkina.

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Original Russian Text © E.A. Utkina, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 2, pp. 54–60.

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Utkina, E.A. Characteristic boundary-value problem for a third-order equation with pseudo-parabolic operator and with shifted arguments of desired function. Russ Math. 58, 45–50 (2014). https://doi.org/10.3103/S1066369X14020078

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  • DOI: https://doi.org/10.3103/S1066369X14020078

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