On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

İbrahim Adalar

doi:10.17776/csj.470328

TR EN

On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

Abstract

In this paper, the inverse spectral problems of Sturm-Liouville operators are considered. Some new uniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.

2010 Mathematics Subject Classification. Primary 34A55, 34B24; Secondary 34L05.

Keywords

Inverse spectral problem,Sturm-Liouville equation

References

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[4]. Levitan B.M., Sargsjan I.S., Sturm-Liouville and Dirac Operators. Dordrecht: Kluwer; 1991.
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[9]. Levinson, N., The inverse Sturm-Liouville problem, Math. Tidsskr, 13 (1949), 25- 30.
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[12]. Mochizuki, K., Trooshin, I., Inverse problem for interior spectral data of the Dirac operator on a finite interval, Publ. RIMS, Kyoto Univ. 38 (2002) 387-395.
[13]. Sat, M., Panakhov, E., A uniqueness theorem for Bessel operator from interior spectral data. Abstr. Appl. Anal., Volume 2013, Article ID 713654, 6 pages.
[14]. Ozkan, A.S., Amirov, R. Kh., An interior inverse problem for the impulsive Dirac operator, Tamkang Journal of Mathematics, 42 (2011) 259-263.
[15]. Horvath, M., Inverse spectral problems and closed exponential systems, Ann. of Math. 162 (2005) 885-918.
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[17]. Guo, Y., Wei, G., Inverse Sturm-Liouville problems with the potential known on an interior subinterval, Appl. Anal., 94 (5) (2015) 1025-1031.
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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İbrahim Adalar ^*
0000-0002-4224-0972
Türkiye

Publication Date

March 22, 2019

Submission Date

October 14, 2018

Acceptance Date

January 2, 2019

Published in Issue

Year 2019 Volume: 40 Number: 1

DOI

https://doi.org/10.17776/csj.470328

IZ

https://izlik.org/JA92CP74BW

Cite

RIS / Bibtex

APA

Adalar, İ. (2019). On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators. Cumhuriyet Science Journal, 40(1), 108-116. https://doi.org/10.17776/csj.470328

Cited By

An Inverse Three Spectra Problem for Parameter-Dependent and Jumps Conformable Sturm–Liouville Operators

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https://doi.org/10.1007/s40840-023-01610-2

On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

Sturm-Liouville Operatörleri için Mochizuki-Trooshin Teoremi Üzerine

Öz

Anahtar Kelimeler

On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

An Inverse Three Spectra Problem for Parameter-Dependent and Jumps Conformable Sturm–Liouville Operators