AN INVERSE PROBLEMS FOR STURM-LIOUVILLE-TYPE DIFFERENTIAL EQUATION WITH A CONSTANT DELAY

By V. Vladičić, M. Pikula. 2016

48 citations recorded by the source corpus.

The topic of this paper is non-self-adjoint second order dif- ferential operators with constant delay generated by y 00 +q(x)y(x ) where potential q is complex-valued function, q2 L 2 (0; ) . We estab- lish properties of the spectral characteristics and research the inverse problem of recovering operators from their spectra when 2 2 ; . We prove that the delay and the potential is uniquely determined from two spectrum, rstly when y(0) = y( ) = 0 and secondly when y(0) = y 0 ( ) = 0, of those operators. Also we will construct q and :

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4e5038faf5ce4de2565c89e8909910a7dcaba7dd

How researchers see this paper

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In Applied Mathematics

1. Sergey A. Buterin
2. Vjacheslav A. Yurko
3. Natalia Pavlovna Bondarenko
4. Pavel Kurasov
5. Chuan-Fu Yang

In Computational Theory and Mathematics

1. Vjacheslav A. Yurko
2. Sergey A. Buterin

In Mathematical Physics

1. Sergey A. Buterin
2. Vjacheslav A. Yurko
3. Natalia Pavlovna Bondarenko
4. Baki Keskin
5. Ayten Ozkan
6. Chung‐Tsun Shieh
7. Pavel Kurasov
8. Chuan-Fu Yang

Citations in the corpus

• An inverse spectral problem for Sturm–Liouville operators with a large constant delay (2017, background): “In [16] the reconstruction of q(x) was studied from the two”