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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 8, Pages 21–26
(Mi ivm9383)
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This article is cited in 3 scientific papers (total 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.
Received: 06.06.2017
Citation:
V. I. Zhegalov, E. A. Utkina, I. M. Shakirova, “On conditions of solvability of the Goursat problem for generalized Aller equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 21–26; Russian Math. (Iz. VUZ), 62:8 (2018), 17–21
Linking options:
https://www.mathnet.ru/eng/ivm9383 https://www.mathnet.ru/eng/ivm/y2018/i8/p21
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Abstract page: | 270 | Full-text PDF : | 93 | References: | 36 | First page: | 14 |
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