This article is cited in 1 paper

Boundary-value problem with Saigo operators for mixed type equation of the third order with multiple characteristics

O. A. Repin^a, S. K. Kumykova<sup>b

a</sup> Chair of Mathematical Statistics and Econometrics, Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia
^b Chair of Function Theory, Kabardino-Balkarian State University, 173 Chernyshevskii str., Nal’chik, 360004 Russia

Abstract: We study a boundary-value problem with shift for mixed-type equation of the third order. In the hyperbolic field boundary condition contains a linear combination of generalized operators of fractional integro-differentiation. We prove a unique solvability of the problem.

Keywords: boundary-value problem, generalized operators of fractional integro-differentiation, Gauss hypergeometric function, Abel integral equation, Fredholm integral equation of the second kind.

UDC: 517.956

Received: 07.02.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:7, 44–51

Bibliographic databases:

•