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I am looking for the English translation of the paper by V. M. Borok (originally in Russian) The Cauchy problem for finite-infinite systems of linear differential equations. This work is about the Cauchy problem $x'=Ax$ where $A$ is an infinite matrix, with possibly unbounded coefficients, whose $i$-th row has only a finite number of elements.

Checking here: ZentralMath says that the English translation is at the journal "Sov. Math. 26, No.7, 1-11 (1982); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1982, No.7(242), 3-10 (1982)." A search at my university library led me to "Soviet Mathematics Doklady", vol. 26, 1982, Tom 265-267, but it is not this one. I also looked at Turpion.org and at Izvestiya: Mathematics of IOPScience, with no success.

What is the complete name of the journal in English? Is there an electronic copy?

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"Soviet mathematics" is a publication which translated Russian papers from various journals which were not translated cover-to cover. This publication was quite expensive and few libraries subsctibed it. Selected papers from Izvestiia Vysshikh Uchebnykh Zavedenii, where this paper is published were translated. Most university libraries that I know have the service which is called Interlibrary Loan. Just ask your libarian. They will order a photocopy or a journal issue from another library.

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  • $\begingroup$ The photocopy finally arrived, through interlibrary loan. Thanks UFR Math-Info from Université de Strasbourg! $\endgroup$ Commented Apr 15, 2016 at 13:07
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As far as I can tell, the titles of the two journals you refer to are Izvestiya Vysshikh Uchebnykh Zavedenii, Matematika and Soviet Mathematics (the latter without appended "Doklady").

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