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References (12)
-
E.I. Moiseev (1989)
Distribution of the spectrum of a Tricomi problem for the Lavrent’ev–Bitsadze equationDiffer. Equations, 25
-
(1922)
Translated under the title Teoriya besselevykh funktsii -
A. Polosin (2002)
On the Location of the Spectrum of a Mixed Boundary Value Problem in a SquareDifferential Equations, 38
-
E.I. Moiseev (1988)
Location of the spectrum of a boundary value problem with mixed boundary conditionsDiffer. Equations, 24
-
(1989)
Distribution of the spectrum of a Tricomi problem for the Lavrent’ev–Bitsadze -
A. Polosin (2011)
Oblique derivative problem with variable inclination angle: Location of the spectrum and the absence of the basis property of the system of root functionsDifferential Equations, 47
-
(1994)
The system of root functions of the directional derivative problem is not a basis -
A. Polosin (2006)
On the location of the spectrum of a mixed boundary value problem for the Laplace equation in a half-diskDifferential Equations, 42
-
L. Milne‐Thomson (1945)
A Treatise on the Theory of Bessel FunctionsNature, 156
-
A. Polosin (2018)
Oblique Derivative Problem for the Helmholtz Equation in a DiskDifferential Equations, 54
-
(1977)
Kraevye zadachi (Boundary Value Problems) -
(1978)
Uravneniya tipa svertki (Equations of the Convolution Type)
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266118100087
- Publisher site
- See Article on Publisher Site
Abstract
A mixed oblique derivative boundary value problem is considered for the Helmholtz equation in a half-disk. We prove the unique solvability of this problem for sufficiently large values of the parameter occurring in the equation, the leading part of the inverse operator being constructed explicitly.
Journal
Differential Equations – Springer Journals
Published: Nov 16, 2018