Recovering differential operators with two retarded arguments

This paper deals with non-self-adjoint second-order Differential Operators with two constant delays τ i , i = 1 , 2 which are less than half the length of the interval. We consider the case when 2 π 5 ≤ τ i ≤ π 2 and potentials q k are functions from L 2 [ τ k , π ] , k = 1 , 2 . We study the invers...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2022-11, Vol.28 (3), Article 68
Main Authors: Vojvodić, B., Komazec, N. Pavlović, Çetinkaya, F. A.
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Original Article
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Summary:This paper deals with non-self-adjoint second-order Differential Operators with two constant delays τ i , i = 1 , 2 which are less than half the length of the interval. We consider the case when 2 π 5 ≤ τ i ≤ π 2 and potentials q k are functions from L 2 [ τ k , π ] , k = 1 , 2 . We study the inverse spectral problem of recovering operators from their spectral characteristics. Four boundary value problems are considered and we prove that delays and potentials are uniquely determined from their spectra.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-022-00462-3