This article is cited in 5 papers

A nonlocal problem for the Bitsadze–Lykov equation

O. A. Repin^a, S. K. Kumykova<sup>b

a</sup> Chair of Mathematical Statistics and Econometrics, Samara State Economic University, Samara, Russia
^b Chair of Function Theory, Kabardino-Balkarian State University, Nalchik, Russia

Abstract: We study a nonlocal boundary value problem for a degenerate hyperbolic equation. We prove that this problem is uniquely solvable if integral Volterra equations of the second kind are solvable with various values of parameters and a generalized fractional integro-differential operator with a hypergeometric Gaussian function in the kernel.

Keywords: boundary value problem, fractional integro-differential operator, integral Volterra equation.

UDC: 517.956

Received: 22.11.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:3, 24–30

Bibliographic databases:

• 
•