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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 6, Pages 25–30
(Mi ivm9365)
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This article is cited in 9 scientific papers (total in 9 papers)
On one method of solving singularly perturbed systems of Tikhonov's type
V. I. Kachalov National Research University “Moscow Power Ingineering Insitute”,
14 Krasnokazarmennaya srt., Moscow, 111250 Russia
Abstract:
To investigate Tikhonov systems arising in problems of control theory we apply the method of holomorphic regularization, which allows one to obtain solutions to singularly perturbed problems in the form of series converging in the usual sense in powers of a small parameter.
Keywords:
Tikhonov system, holomorphic regularization, homomorphism, pseudoholomorphic solution.
Received: 07.04.2017
Citation:
V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6, 25–30; Russian Math. (Iz. VUZ), 62:6 (2018), 21–26
Linking options:
https://www.mathnet.ru/eng/ivm9365 https://www.mathnet.ru/eng/ivm/y2018/i6/p25
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