This article is cited in 2 papers

Nonlocal problem with Saigo operators for mixed type equation of the third order

O. A. Repin

Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia

Abstract: For a third order equation with multiple characteristics we investigate a boundary-value problem with Saigo operators. We prove the unique solvability of the problem for various values of the parameters of generalized fractional integro-differentiation operators.

Keywords: boundary-value problem, the hypergeometric function of Gauss, Saigo operator, Fredholm integral equation.

UDC: 517.953

Received: 01.12.2017
Revised: 01.12.2017
Accepted: 22.03.2018

DOI: 10.26907/0021-3446-2019-1-63-68

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:1, 55–60

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