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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 228–235 (Mi iimi323)  

On the analogue of Wintner's theorem for a controlled elliptic equation

A. V. Chernovab

a Nizhni Novgorod State University named after N. I. Lobachevskii, pr. Gagarina, 23, Nizhni Novgorod, 603950, Russia
b Nizhni Novgorod State Technical University named after R. E. Alekseev, ul. Minina, 24, Nizhni Novgorod, 603950, Russia
References:
Abstract: For a homogeneous Dirichlet problem associated with a controlled semilinear partial differential elliptic equation of the second order, referred as a stationary diffusion–reaction equation, we state analogue of the classical Wintner's theorem concerning the solvability of the Cauchy problem for an ordinary differential equation.
Keywords: controlled semilinear elliptic equation, total preservation of solvability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1727
02.В.49.21.0003
Received: 01.09.2015
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
MSC: 35B30, 35B37, 47J35
Language: Russian
Citation: A. V. Chernov, “On the analogue of Wintner's theorem for a controlled elliptic equation”, Izv. IMI UdGU, 2015, no. 2(46), 228–235
Citation in format AMSBIB
\Bibitem{Che15}
\by A.~V.~Chernov
\paper On the analogue of Wintner's theorem for a controlled elliptic equation
\jour Izv. IMI UdGU
\yr 2015
\issue 2(46)
\pages 228--235
\mathnet{http://mi.mathnet.ru/iimi323}
\elib{https://elibrary.ru/item.asp?id=25030050}
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    Известия Института математики и информатики Удмуртского государственного университета
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