Research Article

The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯).

Volume: 9 Number: 3 September 1, 2019
EN TR

The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯).

Abstract

The main purpose of this present paper is to derive a trace formula for a selfadjoint differential operator which is defined in Hilbert space.

Keywords

References

  1. Adıguzelov EE, (1976). About the trace of the difference of two Sturm-Liouville operators with the operator coefficient. Iz. An Az. SSR, Seriya Fiz-Tekn. i Mat. Nauk, 5: 20-24.
  2. Adiguzelov E, Baksi O, (2004). On the regularized trace of the differential operator equation given in a finite interval. Journal of Engineering and Natural Science, Sigma, 1: 47-55.
  3. Adiguzelov E, Sezer Y, (2011). The second regularized trace of a self adjoint differential operator given in a finite interval with bounded operator coefficient. Mathematical and Computer Modeling, 53: 553-565.
  4. Baksi O, Karayel S, Sezer Y, (2017). Second regularized trace of a differential operator with second order unbounded operator coefficient given in a finite interval. Operators and Matrices, 11(3): 735-747.
  5. Bayramoglu M, (1986). The trace formula for the abstract Sturm-Liouville equation with continuous spectrum. Akad. Nauk Azerb. SSR., Inst. Fiz., Baku, Preprint 6, 34.
  6. Chalilova RZ, (1976). On arranging Sturm-Liouville operator equation’s trace. Funks, Analiz, Teoriya funksiy i ik pril-Mahaçkala, 3 (part I), 154-161.
  7. Dikiy LA, (1953). About of a formula of Gelfand-Levitan. Uspekhi Matematicheskikh Nauk, 8: 119-123.
  8. Dikiy LA, (1955). The Zeta Function of an ordinary differential equation on a finite interval. IZV. Akad. Nauk. SSSR, 19(4): 187-200.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 1, 2019

Submission Date

October 15, 2018

Acceptance Date

March 17, 2019

Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Bakşi, Ö. (2019). The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯). Journal of the Institute of Science and Technology, 9(3), 1594-1605. https://izlik.org/JA48KG92UF
AMA
1.Bakşi Ö. The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯). J. Inst. Sci. and Tech. 2019;9(3):1594-1605. https://izlik.org/JA48KG92UF
Chicago
Bakşi, Özlem. 2019. “The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯)”. Journal of the Institute of Science and Technology 9 (3): 1594-1605. https://izlik.org/JA48KG92UF.
EndNote
Bakşi Ö (September 1, 2019) The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯). Journal of the Institute of Science and Technology 9 3 1594–1605.
IEEE
[1]Ö. Bakşi, “The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯)”., J. Inst. Sci. and Tech., vol. 9, no. 3, pp. 1594–1605, Sept. 2019, [Online]. Available: https://izlik.org/JA48KG92UF
ISNAD
Bakşi, Özlem. “The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯)”. Journal of the Institute of Science and Technology 9/3 (September 1, 2019): 1594-1605. https://izlik.org/JA48KG92UF.
JAMA
1.Bakşi Ö. The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯). J. Inst. Sci. and Tech. 2019;9:1594–1605.
MLA
Bakşi, Özlem. “The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯)”. Journal of the Institute of Science and Technology, vol. 9, no. 3, Sept. 2019, pp. 1594-05, https://izlik.org/JA48KG92UF.
Vancouver
1.Özlem Bakşi. The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯). J. Inst. Sci. and Tech. [Internet]. 2019 Sep. 1;9(3):1594-605. Available from: https://izlik.org/JA48KG92UF