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

Izv. Vyssh. Uchebn. Zaved. Mat., 2018 Number 8, Pages 21–26 (Mi ivm9383)

This article is cited in 3 papers

On conditions of solvability of the Goursat problem for generalized Aller equation

V. I. Zhegalov, E. A. Utkina, I. M. Shakirova

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In terms of coefficients of an equation under consideration, we derive 16 variants of collections of conditions of resolvability of this equation in quadratures. Every collection consists of three identities that interconnect five coefficients appearing in left-hand side of an equation.

Keywords: Aller equation, Goursat problem, factorization.

UDC: 517.956

Received: 06.06.2017


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:8, 17–21

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© Steklov Math. Inst. of RAS, 2024