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.
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.
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.
Gasymov, M. G. On sum of differences of eigenvalues for two self-adjoint operators, Doclad. AN SSSR. 152 (6), 1202–1205, 1953.
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.
Gohberg, N. I. and Krein, M. G. Introduction to the Theory of Linear Non-Selfaddjoint Operators in Hilbert Space(“Nauka”, Moscow, 1965).
Guseynov, G. Sh. and Levitan, B. M. On trace formulas for Sturm-Liouville operator, Vest- nic MGU, Ser. Matem. Mech. 1, 40–49, 1978.
Hilbert, R. C. and Kramer, V. A. Trace formulas for powers of a Sturm-Lioville operator, Canada J. Math. 16 (4), 412–422, 1964.
Kato, T. Perturbation Theory for Linear Operators (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984).
Lax, P. D. Trace formulas for the Sch¨odinger operator, Comm. Pure Appl. Math. 47 (4), 503–512, 1994.
Levitan, B. M. Regularized traces and conditions for smooth periodicity for potential of Sturm-Liouville equation, Sib. Math. J. 22 (2), 137–148, 1980.
Maksudov, F. G., Bayramoglu, M. and Adigezalov, A. A. On regularized trace of Sturm- Liouvilles operator on finite segment with unbounded operator coefficient, DAN SSSR. 277(4), 795–799, 1984.
Rybak, M. A. On asymptotic of eigenvalue distribution of some boundary value problems for Sturm-Liouville operator equation, Ukr. Math. J. 32 (2), 248–252, 1980.
Sadovnichii, V. A. On a trace formula of difference of two ordinary differential operators of high orders, Dif. Urav. 2 (12), 1611–1629, 1966.
Sadovnichii, V. A. and Podolskii, V. E. Trace of operators with relativly compact perturba- tion, Mat. Sbor. 193 (2), 129–152, 2002.
Sadovnichii, V. A. and Podolskii, V. E. Trace of operators. Uspech. Matem. Nauk. 61 (5), 89–156, 2006.
Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition
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.
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.
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.
Gasymov, M. G. On sum of differences of eigenvalues for two self-adjoint operators, Doclad. AN SSSR. 152 (6), 1202–1205, 1953.
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.
Gohberg, N. I. and Krein, M. G. Introduction to the Theory of Linear Non-Selfaddjoint Operators in Hilbert Space(“Nauka”, Moscow, 1965).
Guseynov, G. Sh. and Levitan, B. M. On trace formulas for Sturm-Liouville operator, Vest- nic MGU, Ser. Matem. Mech. 1, 40–49, 1978.
Hilbert, R. C. and Kramer, V. A. Trace formulas for powers of a Sturm-Lioville operator, Canada J. Math. 16 (4), 412–422, 1964.
Kato, T. Perturbation Theory for Linear Operators (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984).
Lax, P. D. Trace formulas for the Sch¨odinger operator, Comm. Pure Appl. Math. 47 (4), 503–512, 1994.
Levitan, B. M. Regularized traces and conditions for smooth periodicity for potential of Sturm-Liouville equation, Sib. Math. J. 22 (2), 137–148, 1980.
Maksudov, F. G., Bayramoglu, M. and Adigezalov, A. A. On regularized trace of Sturm- Liouvilles operator on finite segment with unbounded operator coefficient, DAN SSSR. 277(4), 795–799, 1984.
Rybak, M. A. On asymptotic of eigenvalue distribution of some boundary value problems for Sturm-Liouville operator equation, Ukr. Math. J. 32 (2), 248–252, 1980.
Sadovnichii, V. A. On a trace formula of difference of two ordinary differential operators of high orders, Dif. Urav. 2 (12), 1611–1629, 1966.
Sadovnichii, V. A. and Podolskii, V. E. Trace of operators with relativly compact perturba- tion, Mat. Sbor. 193 (2), 129–152, 2002.
Sadovnichii, V. A. and Podolskii, V. E. Trace of operators. Uspech. Matem. Nauk. 61 (5), 89–156, 2006.
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.
AMA
Bayramoglu M, Aslanova N. Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition. Hacettepe Journal of Mathematics and Statistics. Mayıs 2011;40(5):635-647.
Chicago
Bayramoglu, Mehmet, ve Nigar Aslanova. “Formula for Second Regularized Trace of a Problem With Spectral Parameter Dependent Boundary Condition”. Hacettepe Journal of Mathematics and Statistics 40, sy. 5 (Mayıs 2011): 635-47.
EndNote
Bayramoglu M, Aslanova N (01 Mayıs 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
M. Bayramoglu ve N. Aslanova, “Formula for Second Regularized Trace of a Problem with Spectral Parameter Dependent Boundary Condition”, Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 5, ss. 635–647, 2011.
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 (Mayıs 2011), 635-647.
JAMA
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 ve Nigar Aslanova. “Formula for Second Regularized Trace of a Problem With Spectral Parameter Dependent Boundary Condition”. Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 5, 2011, ss. 635-47.
Vancouver
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):635-47.