BibTex RIS Cite

INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS.

Year 2011, Volume: 60 Issue: 1, 15 - 26, 01.02.2011

Baki Keskın Sinan Ozkan A. Numan Yalçın

https://doi.org/10.1501/Commua1_0000000666
Cited By: 5

Abstract

In this study, Sturm—Liouville problem with discontinuities in the
case when an eigenparameter linearly appears not only in the differential equation but it also appears in both of the boundary conditions is investigated.

References

  • [1] B. M. Levitan, and I. S. Sargsyan, Sturm-Liouville and Dirac Operators [in Russian], Nauka, Moscow (1988).
  • [2] C. T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh, A77 (1977), 293-308.
  • [3] C. T. Fulton, Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh, A87 (1980), 1-34.
  • [4] E. M. Russakovskii, Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions, Funct. Anal. Appl. 9 (1975) 358—359.
  • [5] N. J. Guliyev, Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions, Inverse Problems, 21(2005), 1315-1330.
  • [6] G. Freiling, V. Yurko, Inverse Sturm—Liouville Problems and their Applications, Nova Science, New York, 2001.
  • [7] H. Schmid and C. Tretter, Singular Dirac Systems and Sturm—Liouville Problems Nonlinear in the Spectral Parameter, Journal of Differential Equations, Volume 181, Issue 2, 20 May 2002, Pages 511-542.
  • [8] H. Weyl, Über gewohnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen, Math. Ann. 68 (1910) 220—269.

Year 2011, Volume: 60 Issue: 1, 15 - 26, 01.02.2011

Baki Keskın Sinan Ozkan A. Numan Yalçın

https://doi.org/10.1501/Commua1_0000000666
Cited By: 5

Abstract

References

  • [1] B. M. Levitan, and I. S. Sargsyan, Sturm-Liouville and Dirac Operators [in Russian], Nauka, Moscow (1988).
  • [2] C. T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh, A77 (1977), 293-308.
  • [3] C. T. Fulton, Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh, A87 (1980), 1-34.
  • [4] E. M. Russakovskii, Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions, Funct. Anal. Appl. 9 (1975) 358—359.
  • [5] N. J. Guliyev, Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions, Inverse Problems, 21(2005), 1315-1330.
  • [6] G. Freiling, V. Yurko, Inverse Sturm—Liouville Problems and their Applications, Nova Science, New York, 2001.
  • [7] H. Schmid and C. Tretter, Singular Dirac Systems and Sturm—Liouville Problems Nonlinear in the Spectral Parameter, Journal of Differential Equations, Volume 181, Issue 2, 20 May 2002, Pages 511-542.
  • [8] H. Weyl, Über gewohnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen, Math. Ann. 68 (1910) 220—269.
There are 8 citations in total.

Details

Primary Language English
Authors

Baki Keskın This is me

Sinan Ozkan A. This is me

Numan Yalçın

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 60 Issue: 1

Cite

APA Keskın, B., Ozkan A., S., & Yalçın, N. (2011). INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 60(1), 15-26. https://doi.org/10.1501/Commua1_0000000666
AMA 1.Keskın B, Ozkan A. S, Yalçın N. INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60(1):15-26. doi:10.1501/Commua1_0000000666
Chicago Keskın, Baki, Sinan Ozkan A., and Numan Yalçın. 2011. “INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60 (1): 15-26. https://doi.org/10.1501/Commua1_0000000666.
EndNote Keskın B, Ozkan A. S, Yalçın N (February 1, 2011) INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60 1 15–26.
IEEE [1]B. Keskın, S. Ozkan A., and N. Yalçın, “INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS”., Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 60, no. 1, pp. 15–26, Feb. 2011, doi: 10.1501/Commua1_0000000666.
ISNAD Keskın, Baki - Ozkan A., Sinan - Yalçın, Numan. “INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60/1 (February 1, 2011): 15-26. https://doi.org/10.1501/Commua1_0000000666.
JAMA 1.Keskın B, Ozkan A. S, Yalçın N. INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60:15–26.
MLA Keskın, Baki, et al. “INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 60, no. 1, Feb. 2011, pp. 15-26, doi:10.1501/Commua1_0000000666.
Vancouver 1.Keskın B, Ozkan A. S, Yalçın N. INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2011 Feb. 1;60(1):15-26. Available from: https://izlik.org/JA88RG77DP

Cited By

On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function
AIMS Mathematics
https://doi.org/10.3934/math.2021219
Borg-type theorem for the missing eigenvalue problem
Applied Mathematics Letters
https://doi.org/10.1016/j.aml.2012.11.007
Uniqueness Theorems for Sturm-Liouville Operator with Parameter Dependent Boundary Conditions and Finite Number Of Transmission Conditions
Cumhuriyet Science Journal
https://doi.org/10.17776/csj.340505
Inverse Scattering on the Line with a Transfer Condition
Mediterranean Journal of Mathematics
https://doi.org/10.1007/s00009-014-0425-y
On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems
Acta Mathematica Sinica, English Series
https://doi.org/10.1007/s10114-014-3221-5

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.