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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 12, Pages 25–36
DOI: https://doi.org/10.26907/0021-3446-2019-12-25-36 (Mi ivm9524) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized solutions of the linear boundary value problems

V. P. Burskii

Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, 141701 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-12-25-36
Abstract: We use constructions from the general theory of boundary value problems to build a theory of generalized boundary value problems for the generalized Poisson equation. Namely, generalized solutions of various boundary value problems are introduced and studied for the matrix generalization of the Poisson equation, a description of the set of all such well-posed problems is given. The results obtained are used for advancements in the original general theory of boundary value problems.
Keywords: general theory of boundary value problems, extensions of differential operators, generalized statements, generalized solutions.
Received: 25.12.2018
Revised: 25.12.2018
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 12, Pages 21–31
DOI: https://doi.org/10.3103/S1066369X1912003X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. P. Burskii, “Generalized solutions of the linear boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 12, 25–36; Russian Math. (Iz. VUZ), 63:12 (2019), 21–31
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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