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On One Method of Solving Singularly Perturbed Systems of Tikhonov’s Type

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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.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Insitute”, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia

    V. I. Kachalov

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  1. V. I. Kachalov
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Correspondence to V. I. Kachalov.

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Original Russian Text © V.I. Kachalov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 6, pp. 25–30.

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Kachalov, V.I. On One Method of Solving Singularly Perturbed Systems of Tikhonov’s Type. Russ Math. 62, 21–26 (2018). https://doi.org/10.3103/S1066369X18060038

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  • DOI: https://doi.org/10.3103/S1066369X18060038

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