For citation:
Yurko V. A. On Inverse Problem for Differential Operators with Deviating Argument. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, vol. 18, iss. 3, pp. 328-333. DOI: 10.18500/1816-9791-2018-18-3-328-333, EDN: YBMQLB
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
28.08.2018
Full text:
(downloads: 37)
Language:
English
Heading:
Article type:
Article
UDC:
517.984
EDN:
YBMQLB
On Inverse Problem for Differential Operators with Deviating Argument
Autors:
Yurko Vjacheslav Anatol'evich, Saratov State University
Abstract:
Second-order functional differential operators with a constant delay are considered. Properties of their spectral characteristics are obtained, and a nonlinear inverse spectral problem is studied, which consists in constructin goperators from the irspectra. We establish the unique nessand develop a constructive procedure for solution of the inverse problem.
References:
- Hale J. Theory of functional-differential equations. New York, Springer-Verlag, 1977. 420 p.
- Freiling G., Yurko V. Inverse Sturm–Liouville Problems and Their Applications. New York, NOVA Science Publishers, 2001. 305 p.
- Yurko V. Method of Spectral Mappings in the Inverse Problem Theory. Inverse and Illposed Problems Series. Utrecht, VSP, 2002. 316 p.
- Freiling G., Yurko V. Inverse problems for Sturm–Liouville differential operators with a constant delay. Appl. Math. Lett., 2012, vol. 25, iss. 11, pp. 1999–2004. DOI: https://doi.org/10.1016/j.aml.2012.03.026
- Vladiˇ ci´c V., Pikula M. An inverse problem for Sturm–Liouville-type differential equation with a constant delay. Sarajevo J. Math., 2016, vol. 12(24), no. 1, pp. 83–88. DOI: https://doi.org/10.5644/SJM.12.1.06
- Yurko V., Buterin S., Pikula M. Sturm–Liouville differential operators with deviating argument. Tamkang J. Math., 2017, vol. 48, no. 1, pp. 61–71. DOI: https://doi.org/10.5556/j.tkjm.48.2017.2264
- Buterin S., Yurko V. An inverse spectral problem for Sturm–Liouville operators with a large constant delay. Anal. Math. Phys., 2017, pp. 1–11. DOI: https://doi.org/10.1007/s13324-017-0176-6
Received:
26.03.2018
Accepted:
29.07.2018
Published:
04.09.2018
- 1290 reads