|
Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 2, Pages 207–226
(Mi jmag557)
|
|
|
|
This article is cited in 9 scientific papers (total 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. Mirzoeva, A. R. Alievab, L. A. Rustamovac 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.
Received: 25.01.2012
Citation:
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., 9:2 (2013), 207–226
Linking options:
https://www.mathnet.ru/eng/jmag557 https://www.mathnet.ru/eng/jmag/v9/i2/p207
|
Statistics & downloads: |
Abstract page: | 434 | Full-text PDF : | 119 | References: | 73 |
|