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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 8, Pages 44–49
DOI: https://doi.org/10.26907/0021-3446-2020-8-44-49 (Mi ivm9602) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A problem for a factorized equation with a pseudoparabolic differential operator

L. B. Mironova

Elabuga Institute of Kazan Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-8-44-49
Abstract: A new problem is proposed for a fourth-order factorized differential equation whose operator is the product of a first- and third-order differential operator. The existence and uniqueness of the solution of the problem are proved. The solution is constructed in terms of the Riemann function of the corresponding pseudoparabolic differential operator of the third order, and one of the functions included in the formula for solving the problem is determined in the resolvents of two integral equations.
Keywords: factorized equation, pseudoparabolic equation, equation with leading partial derivative, Riemann method, Goursat problem, Volterra equation.
Received: 29.09.2019
Revised: 29.09.2019
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 8, Pages 37–41
DOI: https://doi.org/10.3103/S1066369X20080058
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: L. B. Mironova, “A problem for a factorized equation with a pseudoparabolic differential operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8, 44–49; Russian Math. (Iz. VUZ), 64:8 (2020), 37–41
Citation in format AMSBIB
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\issue 8
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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