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Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition
Abstract
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Keywords
References
- Albayrak, I., Bayramoglu, M. and Adiguzalov, E. E. The second regularized trace formula for the Sturm-Liowille problem with spectral parameter in a boundary condition, Methods of functional Analysis and Topology 6 (3), 1–8, 2000.
- Aslanova, N. M. A trace formula of one boundary value problem for the Sturm-Liouville operator equation, Siberian Math. J. 49 (6), 1207–1215, 2008.
- Dikii, L. A. On one formula by Gelfand-Levitan, Uspech. Mat. Nauk. 8 (2), 119–123, 1953. [4] Dikii, L. A. A new method of calculation of eigenvalues of Sturm-Liouville operator, Dokl. Akad. Nauk. 116 (1), 12–14, 1957. [5] Dikii, L. A. Trace formulas for Sturm-Liouville differential operators, Uspech. Mathem. Nauk. XIII. 3 (81), 111–143, 1958. [6] Erdal, G. The trace formula for a differential operator of fourth order with bounded operator coefficients and two terms, Turk J. Math. 28, 231–254, 2004.
- Gasymov, M. G. On sum of differences of eigenvalues for two self-adjoint operators, Doclad. AN SSSR. 152 (6), 1202–1205, 1953.
- Gelfand, I. M. and Levitan, B. M. About one simple identity for eigenvalues of second order differential operator, DAN SSSR. 88 (4), 593–596, 1953.
- Gohberg, N. I. and Krein, M. G. Introduction to the Theory of Linear Non-Selfaddjoint Operators in Hilbert Space(“Nauka”, Moscow, 1965).
- Guseynov, G. Sh. and Levitan, B. M. On trace formulas for Sturm-Liouville operator, Vest- nic MGU, Ser. Matem. Mech. 1, 40–49, 1978.
- Hilbert, R. C. and Kramer, V. A. Trace formulas for powers of a Sturm-Lioville operator, Canada J. Math. 16 (4), 412–422, 1964.
Details
Primary Language
Turkish
Subjects
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Journal Section
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Publication Date
May 1, 2011
Submission Date
May 11, 2014
Acceptance Date
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Published in Issue
Year 2011 Volume: 40 Number: 5
APA
Bayramoglu, M., & Aslanova, N. (2011). Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics, 40(5), 635-647. https://izlik.org/JA37EC89WC
AMA
1.Bayramoglu M, Aslanova N. Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics. 2011;40(5):635-647. https://izlik.org/JA37EC89WC
Chicago
Bayramoglu, Mehmet, and Nigar Aslanova. 2011. “Formula for Second Regularized Trace of a Problem With Spectral Parameter Dependent Boundary Condition”. Hacettepe Journal of Mathematics and Statistics 40 (5): 635-47. https://izlik.org/JA37EC89WC.
EndNote
Bayramoglu M, Aslanova N (May 1, 2011) Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics 40 5 635–647.
IEEE
[1]M. Bayramoglu and N. Aslanova, “Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 5, pp. 635–647, May 2011, [Online]. Available: https://izlik.org/JA37EC89WC
ISNAD
Bayramoglu, Mehmet - Aslanova, Nigar. “Formula for Second Regularized Trace of a Problem With Spectral Parameter Dependent Boundary Condition”. Hacettepe Journal of Mathematics and Statistics 40/5 (May 1, 2011): 635-647. https://izlik.org/JA37EC89WC.
JAMA
1.Bayramoglu M, Aslanova N. Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics. 2011;40:635–647.
MLA
Bayramoglu, Mehmet, and Nigar Aslanova. “Formula for Second Regularized Trace of a Problem With Spectral Parameter Dependent Boundary Condition”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 5, May 2011, pp. 635-47, https://izlik.org/JA37EC89WC.
Vancouver
1.Mehmet Bayramoglu, Nigar Aslanova. Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 May 1;40(5):635-47. Available from: https://izlik.org/JA37EC89WC