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Some Classes of Linear Conjugation Problems for a Four-Dimensional Vector That Are Solvable in Closed Form

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Abstract

We consider the structure of the set of piecewise meromorphic solutions of a homogeneous linear conjugation problem for a four-dimensional vector. We show that in the presence of three piecewise meromorphic solutions to the linear conjugation problem it is possible to construct a canonical system of solutions to the linear conjugation problem and distinguish some classes of problems that are solvable in closed form.

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Authors and Affiliations

  1. Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008, Russia

    S. N. Kiyasov

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  1. S. N. Kiyasov
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Correspondence to S. N. Kiyasov.

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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 6, pp. 23–33.

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Kiyasov, S.N. Some Classes of Linear Conjugation Problems for a Four-Dimensional Vector That Are Solvable in Closed Form. Russ Math. 63, 19–28 (2019). https://doi.org/10.3103/S1066369X19060033

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  • DOI: https://doi.org/10.3103/S1066369X19060033

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