Research Article

Trace Regularization Problem For Higher Order Differential Operator

Volume: 2 Number: 1 April 30, 2020
EN

Trace Regularization Problem For Higher Order Differential Operator

Abstract

We establish a regularized trace formula for higher order self-adjoint differential operator with unbounded operator coefficient

Keywords

References

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  2. [2] E.E. Adıguzelov and O. Baksi, On The Regularized Trace of The Differential Operator Equation Given in a Finite Interval, Journal of Engineering and Natural Sciences Sigma, 47-55, 2004/1.
  3. [3] N.M. Aslanova, About the spectrum and the trace formula for the operator Bessel equation, Siberian Mathematical Journal, Vol.51, No.4, 569-583, (2010).
  4. [4] M. Bayramoglu and E.E. Adıguzelov, On a regularized trace formula for the Sturm-Lioville operator with a bounded operator coefficient and with a singularity, Differential Equations, Vol.32, No.12, 1581-1585, (1996).
  5. [5] L.A. Dikiy, About a formula of Gelfand-Levitan, Usp.Mat.Nauk, 82, 119-123, (1953).
  6. [6] L.A. Dikiy, The Zeta Function of an ordinary Differential Equation on a finite Interval, IZV. Akad. Nauk.SSSR, Vol.19,4, 187-200, (1955).
  7. [7] L.D. Faddeev, On the expression for the trace of the difference of two singular differential operators of the Sturm Liouville Type, Doklady Akademii Nauk SSSR, Vol115, no.5, 878-881, 1957.
  8. [8] M.G. Gasymov, On the Sum of Differences of Eigenvalues of Two Self Adjoint Operators, Dokl. Akad. Nauk. SSSR, Vol.150, 6, 1202-1205, (1963).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Serpil Karayel This is me
Türkiye

Publication Date

April 30, 2020

Submission Date

March 27, 2019

Acceptance Date

April 27, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Bakşi, O., Sezer, Y., & Karayel, S. (2020). Trace Regularization Problem For Higher Order Differential Operator. Maltepe Journal of Mathematics, 2(1), 27-37. https://izlik.org/JA64YP87PL
AMA
1.Bakşi O, Sezer Y, Karayel S. Trace Regularization Problem For Higher Order Differential Operator. Maltepe Journal of Mathematics. 2020;2(1):27-37. https://izlik.org/JA64YP87PL
Chicago
Bakşi, Ozlem, Yonca Sezer, and Serpil Karayel. 2020. “Trace Regularization Problem For Higher Order Differential Operator”. Maltepe Journal of Mathematics 2 (1): 27-37. https://izlik.org/JA64YP87PL.
EndNote
Bakşi O, Sezer Y, Karayel S (April 1, 2020) Trace Regularization Problem For Higher Order Differential Operator. Maltepe Journal of Mathematics 2 1 27–37.
IEEE
[1]O. Bakşi, Y. Sezer, and S. Karayel, “Trace Regularization Problem For Higher Order Differential Operator”, Maltepe Journal of Mathematics, vol. 2, no. 1, pp. 27–37, Apr. 2020, [Online]. Available: https://izlik.org/JA64YP87PL
ISNAD
Bakşi, Ozlem - Sezer, Yonca - Karayel, Serpil. “Trace Regularization Problem For Higher Order Differential Operator”. Maltepe Journal of Mathematics 2/1 (April 1, 2020): 27-37. https://izlik.org/JA64YP87PL.
JAMA
1.Bakşi O, Sezer Y, Karayel S. Trace Regularization Problem For Higher Order Differential Operator. Maltepe Journal of Mathematics. 2020;2:27–37.
MLA
Bakşi, Ozlem, et al. “Trace Regularization Problem For Higher Order Differential Operator”. Maltepe Journal of Mathematics, vol. 2, no. 1, Apr. 2020, pp. 27-37, https://izlik.org/JA64YP87PL.
Vancouver
1.Ozlem Bakşi, Yonca Sezer, Serpil Karayel. Trace Regularization Problem For Higher Order Differential Operator. Maltepe Journal of Mathematics [Internet]. 2020 Apr. 1;2(1):27-3. Available from: https://izlik.org/JA64YP87PL

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