Research Article

Eigenvalues and scattering properties of difference operators with impulsive condition

Volume: 68 Number: 1 February 1, 2019
EN

Eigenvalues and scattering properties of difference operators with impulsive condition

Abstract

In this work, we are concerned with difference operator of second order with impulsive condition. By the help of a transfer matrix M, we present scattering function of corresponding operator and examine the spectral properties of this impulsive problem.

Keywords

References

  1. Naimark, M. A., Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint operators of second order on a semi-axis, AMS Transl. (2), 16, (1960), 103-193.
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  3. Agarwal, R. P., Difference equations and inequalities, in: Theory, Methods and Applications, Marcel Dekkar Inc., New York, Basel, 2000.
  4. Kelley, W. G and Peterson, A. C., Difference equations: an introduction with applications, Harcourt Academic Press, 2001.
  5. Akhiezer, N. I., The classical moment problem and some related questions in analysis, New York, 1965.
  6. Bairamov, E. and Çelebi, A. O., Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Quart J. Math. Oxford, 50(2), (1999), 371-384.
  7. Adıvar, M. and Bairamov, E., Spectral properties of non-selfadjoint difference operators, J. Math. Anal. Appl., 261, (2001), 461-478.
  8. Bairamov, E., Çakar, Ö. and Krall, A. M., Non-selfadjoint difference operators and Jacobi matrices with spectral singularities, Math. Nachr, 229, 2001.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

January 11, 2018

Acceptance Date

May 8, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Erdal, İ., & Yardımcı, Ş. (2019). Eigenvalues and scattering properties of difference operators with impulsive condition. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 663-671. https://doi.org/10.31801/cfsuasmas.459458
AMA
1.Erdal İ, Yardımcı Ş. Eigenvalues and scattering properties of difference operators with impulsive condition. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):663-671. doi:10.31801/cfsuasmas.459458
Chicago
Erdal, İbrahim, and Şeyhmus Yardımcı. 2019. “Eigenvalues and Scattering Properties of Difference Operators With Impulsive Condition”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 663-71. https://doi.org/10.31801/cfsuasmas.459458.
EndNote
Erdal İ, Yardımcı Ş (February 1, 2019) Eigenvalues and scattering properties of difference operators with impulsive condition. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 663–671.
IEEE
[1]İ. Erdal and Ş. Yardımcı, “Eigenvalues and scattering properties of difference operators with impulsive condition”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 663–671, Feb. 2019, doi: 10.31801/cfsuasmas.459458.
ISNAD
Erdal, İbrahim - Yardımcı, Şeyhmus. “Eigenvalues and Scattering Properties of Difference Operators With Impulsive Condition”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 663-671. https://doi.org/10.31801/cfsuasmas.459458.
JAMA
1.Erdal İ, Yardımcı Ş. Eigenvalues and scattering properties of difference operators with impulsive condition. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:663–671.
MLA
Erdal, İbrahim, and Şeyhmus Yardımcı. “Eigenvalues and Scattering Properties of Difference Operators With Impulsive Condition”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 663-71, doi:10.31801/cfsuasmas.459458.
Vancouver
1.İbrahim Erdal, Şeyhmus Yardımcı. Eigenvalues and scattering properties of difference operators with impulsive condition. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):663-71. doi:10.31801/cfsuasmas.459458

Cited By

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

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