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

Volume: 60 Number: 1 February 1, 2011
EN

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

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. [1] B. M. Levitan, and I. S. Sargsyan, Sturm-Liouville and Dirac Operators [in Russian], Nauka, Moscow (1988).
  2. [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. [3] C. T. Fulton, Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh, A87 (1980), 1-34.
  4. [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. [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. [6] G. Freiling, V. Yurko, Inverse Sturm—Liouville Problems and their Applications, Nova Science, New York, 2001.
  7. [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. [8] H. Weyl, Über gewohnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen, Math. Ann. 68 (1910) 220—269.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Baki Keskın This is me

Sinan Ozkan A. This is me

Publication Date

February 1, 2011

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2011 Volume: 60 Number: 1

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.Baki Keskın, Sinan Ozkan A., Numan Yalçın. INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011 Feb. 1;60(1):15-26. doi:10.1501/Commua1_0000000666

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

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