Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition

Volume: 40 Number: 5 May 1, 2011
  • Mehmet Bayramoglu
  • Nigar Aslanova
EN TR

Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition

Abstract

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Keywords

References

  1. 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.
  2. 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.
  3. 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.
  4. Gasymov, M. G. On sum of differences of eigenvalues for two self-adjoint operators, Doclad. AN SSSR. 152 (6), 1202–1205, 1953.
  5. 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.
  6. Gohberg, N. I. and Krein, M. G. Introduction to the Theory of Linear Non-Selfaddjoint Operators in Hilbert Space(“Nauka”, Moscow, 1965).
  7. Guseynov, G. Sh. and Levitan, B. M. On trace formulas for Sturm-Liouville operator, Vest- nic MGU, Ser. Matem. Mech. 1, 40–49, 1978.
  8. 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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Authors

Mehmet Bayramoglu This is me

Nigar Aslanova This is me

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