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

Cilt: 9 Sayı: 3 1 Eylül 2019
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The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯).

Öz

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

Anahtar Kelimeler

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Eylül 2019

Gönderilme Tarihi

15 Ekim 2018

Kabul Tarihi

17 Mart 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 9 Sayı: 3

Kaynak Göster

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). Iğdır Üniv. Fen Bil Enst. Der. 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 (01 Eylül 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)”., Iğdır Üniv. Fen Bil Enst. Der., c. 9, sy 3, ss. 1594–1605, Eyl. 2019, [çevrimiçi]. Erişim adresi: 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 (01 Eylül 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). Iğdır Üniv. Fen Bil Enst. Der. 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, c. 9, sy 3, Eylül 2019, ss. 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). Iğdır Üniv. Fen Bil Enst. Der. [Internet]. 01 Eylül 2019;9(3):1594-605. Erişim adresi: https://izlik.org/JA48KG92UF