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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 2, Pages 54–60 (Mi ivm8871)

This article is cited in 6 papers

A characteristic boundary problem for a third-order equation with a psedoparabolic operator where the desired function has shifted arguments

E. A. Utkina

Chair of General Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We consider one variant of the Goursat problem for a third-order equation which was not studied earlier and prove its unique solvability.

Keywords: desired function with shifted arguments, pseudo-parabolic operator.

UDC: 517.956

Received: 12.10.2012


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:2, 45–50

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© Steklov Math. Inst. of RAS, 2026