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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 228–235
(Mi iimi323)
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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
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.
Received: 01.09.2015
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
Linking options:
https://www.mathnet.ru/eng/iimi323 https://www.mathnet.ru/eng/iimi/y2015/i2/p228
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Abstract page: | 366 | Full-text PDF : | 56 | References: | 85 |
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