This article is cited in 1 paper

A problem on a jump on a contour with limit continuum

B. A. Kats^a, S. R. Mironova^b, A. Yu. Pogodina<sup>c

a</sup> Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Chair of Theoretical and Applied Mechanics and Mathematics, Kazan National Research Technical University, 10 K. Marksa str., Kazan, 420111 Russia
^c Chair of Mathematical Economics, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia

Abstract: We obtain a condition of resolvablity of boundary-value problem on restoring holomorphic function by a given jump on a contour with limit continuum. An example of such contour is a graph of the function $y=\sin\frac\pi x$, $0<x\le1$, whose limit continuum is a segment $[-i,i]$ of imaginary axis.

Keywords: contour with limit continuum, analytic function, the jump boundary value problem.

UDC: 517.544

Received: 01.10.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:2, 57–61

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