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References (25)
-
(1988)
Direct and Inverse Scattering on the Line, Mathematica Surveys and Monographs, vol -
S. Buterin, A. Rivero (2015)
On inverse problem for a convolution integro-differential operator with Robin boundary conditionsAppl. Math. Lett., 48
-
V. Yurko, S. Buterin, M. Pikula (2017)
Sturm-Liouville differential operators with deviating argumentTamkang Journal of Mathematics, 48
-
N. Bondarenko, S. Buterin (2017)
On Recovering the Dirac Operator with an Integral Delay from the SpectrumResults in Mathematics, 71
-
(1995)
On the solvability and properties of solutions of functional-differential equations in a Hilbert space -
VA Yurko (2000)
Inverse Spectral Problems for Differential Operators and Their Applications -
VA Yurko (2002)
Method of Spectral Mappings in the Inverse Problem Theory. Inverse and Ill-posed Problems Series -
V. Vladičić, M. Pikula (2016)
AN INVERSE PROBLEMS FOR STURM-LIOUVILLE-TYPE DIFFERENTIAL EQUATION WITH A CONSTANT DELAYSarajevo Journal of Mathematics, 12
-
A. Tischler, D. Bellman (2013)
Combustion Instability in an Acid-Heptane Rocket with a Pressurized-Gas Propellant Pumping System -
R. Bellman, K. Cooke (1967)
Differential-Difference Equations -
M Pikula (1991)
Determination of a Sturm–Liouville-type differential operator with delay argument from two spectraMat. Vesnik, 43
-
B. Levitan (1987)
Inverse Sturm-Liouville Problems -
VA Yurko (2014)
An inverse spectral problems for integro-differential operatorsFar East J. Math. Sci., 92
-
V. Yurko (2002)
Method of Spectral Mappings in the Inverse Problem Theory -
S. Buterin (2007)
On an Inverse Spectral Problem for a Convolution Integro-differential OperatorResults in Mathematics, 50
-
SB Norkin (1965)
Second Order Differential Equations with a Delay Argument -
J. Hale (1977)
Theory of Functional Differential Equations -
G. Freiling, V. Yurko (2001)
Inverse Sturm-Liouville problems and their applications -
(1985)
Properties of a part of the eigen- and associated elements of selfadjoint quadratic operator pencils -
Göran Borg (1946)
Eine Umkehrung der Sturm-Liouvilleschen EigenwertaufgabeActa Mathematica, 78
-
Y. Kuryshova (2007)
Inverse spectral problem for integro-differential operatorsMathematical Notes, 81
-
AD Myshkis (1951)
Linear Differential Equations with a Delay Argument -
S. Buterin (2010)
On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrumDifferential Equations, 46
-
V. Marchenko (1977)
Sturm-Liouville operators and their applications -
G. Freiling, V. Yurko (2012)
Inverse problems for Sturm-Liouville differential operators with a constant delayAppl. Math. Lett., 25
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer International Publishing
- Subject
- Mathematics; Analysis; Mathematical Methods in Physics
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-017-0176-6
- Publisher site
- See Article on Publisher Site
Abstract
We consider the Sturm–Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two boundary value problems with one common boundary condition. The conditions on arbitrary subspectra are obtained that are necessary and sufficient for the unique determination of the potential by specifying these subspectra, and a constructive procedure for solving the inverse problem is provided along with necessary and sufficient conditions of its solvability.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: May 23, 2017