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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 70–82
DOI: https://doi.org/10.26907/0021-3446-2019-5-70-82 (Mi ivm9465) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On an initial-boundary value problem for a semilinear differential-algebraic system of partial differential equations of index $(1,0)$

S. V. Svinina, A. K. Svinin

Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-5-70-82
Abstract: We consider a mixed problem for some semilinear differential-algebraic system of partial differential equations of index $ (1,0) $ of the first order with a two-dimensional rectangular domain of definition. Using the method of characteristics and the method of successive approximations, the theorem of the existence and uniqueness of the classical solution of a mixed problem in the entire domain of definition is proved. It is shown that the solution and its first derivatives remain bounded in this region.
Keywords: differential-algebraic system, index of system, matrix pencil, method of characteristics.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0348-216-0009
Received: 09.04.2018
Revised: 05.06.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 63–74
DOI: https://doi.org/10.3103/S1066369X19050074
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. V. Svinina, A. K. Svinin, “On an initial-boundary value problem for a semilinear differential-algebraic system of partial differential equations of index $(1,0)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 70–82; Russian Math. (Iz. VUZ), 63:5 (2019), 63–74
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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