Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Yurko V. A. On Inverse Periodic Problem for Differential Operators for Central Symmetric Potentials. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, vol. 16, iss. 1, pp. 68-75. DOI: 10.18500/1816-9791-2016-16-1-68-75, EDN: VUSOER

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
14.03.2016
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.984
DOI: 
10.18500/1816-9791-2016-16-1-68-75
EDN: 
VUSOER

On Inverse Periodic Problem for Differential Operators for Central Symmetric Potentials

Autors: 
Yurko Vyacheslav Anatol'evich, Saratov State University
Abstract: 

An inverse spectral problem for Sturm–Liouville operators on a finite interval with periodic boundary conditions is studied in the central symmetric case, when the potential is symmetric with respect to the middle of the interval. We discuss the statement of the problem, provide an algorithm for its solution along with necessary and sufficient conditions for the solvability of this nonlinear inverse problem.

Key words: 
differential operators
non-separated boundary conditions
inverse spectral problems
References: 
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Received: 
27.11.2015
Accepted: 
28.02.2016
Published: 
31.03.2016
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