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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 40–44
DOI: https://doi.org/10.31857/S2686954322020187 (Mi danma246) 		 
MATHEMATICS

Correct solvability of integrodifferential equations in spaces of vector functions holomorphic in an angular domain

V. V. Vlasov, N. A. Rautian

Lomonosov Moscow State University, Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322020187
Abstract: Integrodifferential equations with unbounded operator coefficients in a Hilbert space are studied. The main part of an equation of this kind is an abstract parabolic equation perturbed by a Volterra integral operator. The fundamental difference between this work and the other ones is that integrodifferential equations are considered and studied in this paper for vector functions the arguments of which take values in an angular domain on the complex plane.
Keywords: Volterra integrodifferential equations, vector function holomorphic in an angular domain, Hardy space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 20-01-00288
Lomonosov Moscow State University
The part of this study concerning Theorems 1 and 2 was supported by the Ministry of Science and Higher Education of the Russian Federation within a program of the Moscow Center of Fundamental and Applied Mathematics. Theorems 3 and 4 were proved with the support of the Russian Foundation for Basic Research, project no. 20-01-00288. The part concerning Theorem 5 was supported by the interdisciplinary scientific and educational school “Mathematical methods for the analysis of complex systems” of Moscow State University.
Presented: V. A. Sadovnichii
Received: 06.12.2021
Revised: 18.02.2022
Accepted: 19.02.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 84–88
DOI: https://doi.org/10.1134/S1064562422020181
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, “Correct solvability of integrodifferential equations in spaces of vector functions holomorphic in an angular domain”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 40–44; Dokl. Math., 105:2 (2022), 84–88
Citation in format AMSBIB
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\by V.~V.~Vlasov, N.~A.~Rautian
\paper Correct solvability of integrodifferential equations in spaces of vector functions holomorphic in an angular domain
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 503
\pages 40--44
\mathnet{http://mi.mathnet.ru/danma246}
\crossref{https://doi.org/10.31857/S2686954322020187}
\elib{https://elibrary.ru/item.asp?id=48506200}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 2
\pages 84--88
\crossref{https://doi.org/10.1134/S1064562422020181}
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