Geodesic
Some classes of linear conjugation problems for a~two-dimensional vector resolvable in a~closed form
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 3-20

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We consider the structure of the set of piecewise-meromorphic solutions to the linear conjugation problem for a two-dimensional vector and study its connection with the fractional linear conjugation problem. We prove that if there exists a piecewise-meromorphic solution to any of these problems then one can construct a canonical system of solutions to the linear conjugation problem and define classes of problems solvable in a closed form.
Keywords: matrix function, linear conjugation problem, fractional linear conjugation problem. 
@article{IVM_2013_1_a0,
     author = {S. N. Kiyasov},
     title = {Some classes of linear conjugation problems for a~two-dimensional vector resolvable in a~closed form},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--20},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_1_a0/}
}
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S. N. Kiyasov. Some classes of linear conjugation problems for a~two-dimensional vector resolvable in a~closed form. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 3-20. http://geodesic.mathdoc.fr/item/IVM_2013_1_a0/