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The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions
Abstract
In this study, we examined the formula of the regularized trace of the self-adjoint operator which is formed by
differential expression and
anti-periodic boundary condition.
Keywords
References
- [1] Gelfand, I. M. and Levitan, B. M., On a formula for eigenvalues of a differential operator of second order. Dokl. Akad. Nauk SSSR, 88-4 (1953) 593-596.
- [2] Dikii, L. A., On a Formula of Gelfand–Levitan. Usp. Mat. Nauk, 8-2 (1953) 119-123.
- [3] Gelfand, I. M., About an identity for eigenvalues of a differential operator of second order. Usp. Mat. Nauk, 11(67) (1956) 191-198.
- [4] Fadeev, L.D., On the Expression for the Trace of the Difference of Two Singular Differential Operators of the Sturm–Liouville Type. Dokl. Akad. Nauk SSSR, 115-5 (1957) 878– 881.
- [5] Dikii, L. A., Trace formulas for differential operators of Sturm- Liouville. Uspeki Matem. Nauk, 13-3 (1958) 111-143.
- [6] Levitan, B.M., Calculation of the Regularized Trace for the Sturm–Liouville Operator. Uspekhi Mat. Nauk, 19-1 (1964) 161–165.
- [7] Sadovnichii,V.A.,On the trace of the difference of two high-order ordinary differential operators. Differents, Uravneniya, 2-12 (1966) 1611-1624.
- [8] Cao, C.W. and Zhuang, D.W., Some trace formulas for the Schr¨odinger equation with energy-dependent potential, Acta Math. Sci.(in Chinese), 5 (1985) 233-236.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 31, 2019
Submission Date
November 9, 2018
Acceptance Date
October 24, 2019
Published in Issue
Year 2019 Volume: 40 Number: 4
APA
Kızılbudak Çalışkan, S., & Özen, L. (2019). The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions. Cumhuriyet Science Journal, 40(4), 784-791. https://doi.org/10.17776/csj.480810
AMA
1.Kızılbudak Çalışkan S, Özen L. The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions. CSJ. 2019;40(4):784-791. doi:10.17776/csj.480810
Chicago
Kızılbudak Çalışkan, Seda, and Leyla Özen. 2019. “The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions”. Cumhuriyet Science Journal 40 (4): 784-91. https://doi.org/10.17776/csj.480810.
EndNote
Kızılbudak Çalışkan S, Özen L (December 1, 2019) The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions. Cumhuriyet Science Journal 40 4 784–791.
IEEE
[1]S. Kızılbudak Çalışkan and L. Özen, “The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions”, CSJ, vol. 40, no. 4, pp. 784–791, Dec. 2019, doi: 10.17776/csj.480810.
ISNAD
Kızılbudak Çalışkan, Seda - Özen, Leyla. “The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions”. Cumhuriyet Science Journal 40/4 (December 1, 2019): 784-791. https://doi.org/10.17776/csj.480810.
JAMA
1.Kızılbudak Çalışkan S, Özen L. The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions. CSJ. 2019;40:784–791.
MLA
Kızılbudak Çalışkan, Seda, and Leyla Özen. “The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions”. Cumhuriyet Science Journal, vol. 40, no. 4, Dec. 2019, pp. 784-91, doi:10.17776/csj.480810.
Vancouver
1.Seda Kızılbudak Çalışkan, Leyla Özen. The Regularized Trace Formula Of A Second Order Differentıal Equation Given With Anti-Perıodic Boundary Conditions. CSJ. 2019 Dec. 1;40(4):784-91. doi:10.17776/csj.480810