Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 23-33

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We consider the structure of the set of piecewise meromorphic solutions for 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.
Keywords: matrix-function, linear conjugation problem, factorization.
@article{IVM_2019_6_a2,
     author = {S. N. Kiyasov},
     title = {Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {23--33},
     publisher = {mathdoc},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_6_a2/}
}
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S. N. Kiyasov. Some classes of linear conjugation problems for a four-dimensional vector that are solvable in closed form. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2019), pp. 23-33. http://geodesic.mathdoc.fr/item/IVM_2019_6_a2/