S. S. Mirzoev, A. R. Aliev, L. A. Rustamova, “On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinous Coefficients”, Zh. Mat. Fiz. Anal. Geom., 2013, Volume 9, Number 2,Pages <nobr>207

This article is cited in 9 papers

On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinous Coefficients

S. S. Mirzoev^a, A. R. Aliev^ab, L. A. Rustamova^c

^a Baku State University, 23 Z. Khalilov Str., Baku AZ1148, Azerbaijan
^b Institute of Mathematics and Mechanics of NAS of Azerbaijan, 9 F. Agayev Str., Baku AZ1141, Azerbaijan
^c Institute of Applied Mathematics, Baku State University, 23 Z. Khalilov Str., Baku AZ1148, Azerbaijan

Abstract: Sufficient conditions for regular solvability of the boundary value problem for an elliptic operator-differential equation of second order considered on the positive semi-axis are obtained. Note that the principal part of the equation contains a discontinuous coefficient, and the boundary condition involves a linear operator.

Key words and phrases: Hilbert space, operator-differential equation, discontinuous coefficient, regular solvability, Fourier transformation, intermediate derivatives.

MSC: 34B40, 35J25, 47D03

Received: 25.01.2012

Language: English