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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 6, Pages 15–20
DOI: https://doi.org/10.26907/0021-3446-2020-6-15-20 (Mi ivm9578) 		 
The Goursat and Cauchy problems for three-dimensional Bianchi equation

V. I. Zhegalova, L. B. Mironovab

a Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Kazan Federal University, Yelabyga Institute, 89 Kazanskaya str., Yelabyga, 423600 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-6-15-20
Abstract: For the coefficient inverse Goursat and Cauchy problems with an additional search for the coefficients of the equation, a new approach to the allocation of solvability cases of these problems in quadratures is proposed. Instead of introducing additional boundary conditions, restrictions on the structure of the equation associated with the possibilities of its factorization are proposed.
Keywords: Goursat problem, Cauchy problem, factorization, Riemann function, solvability in quadratures.
Received: 03.06.2019
Revised: 03.06.2019
Accepted: 25.09.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 6, Pages 11–15
DOI: https://doi.org/10.3103/S1066369X20060031
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. I. Zhegalov, L. B. Mironova, “The Goursat and Cauchy problems for three-dimensional Bianchi equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 15–20; Russian Math. (Iz. VUZ), 64:6 (2020), 11–15
Citation in format AMSBIB
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\pages 15--20
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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