Spectrum and symmetries of the impulsive difference equations
Yıl: 2021 Cilt: 70 Sayı: 1 Sayfa Aralığı: 38 - 51 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.669708 İndeks Tarihi: 29-07-2022
Spectrum and symmetries of the impulsive difference equations
Öz: This paper deals with the spectral analysis and symmetries of the secondorder difference equations with impulse. We determine a transfer matrix andthis allows us to investigate the locations of eigenvalues and spectralsingularites of the difference operator generated in $ell_{2}(Z)$.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Samoilenko, A. M., Perestyuk, N. A., Impulsive differential equations, World Scientific, Singapore, 1995. Samoilenko, A. M., Perestyuk, N. A., Stability of the solutions of differential equations with impulsive action, Differencial'nye Uravnenija, 13(11) (1977), 1981-1992.
- Perestyuk, N. A., Plotnikov, V. A., Samoilenko, A. M., Skripnik, N. V., Differential equations with impulse effects: multivalued right-hand sides with discontinuities, De Gruyter studies in mathematics 40, Germany, 2011.
- Lakshmikantham, V., Bainov, D. D., Simeonov, P. S., Theory of impulsive differential equations, World Scientific, Singapore, 1998.
- Bainov, D. D., Simeonov, P. S., Oscillation theory of impulsive differential equations, Int. Publ., Orlando, 1998.
- He, Z. M., Zhang, X. M. , Monoton iterative technique for first order impulsive difference equations with periodic boundary conditions, Appl. Math. Comput., 156 (3) (2004), 605-620.
- Wang, P., Wang, W., Boundary value problems for first order impulsive difference equations, Int. Journal of Difference Equations, 1 (2006), 249-259.
- Zhang, Q., Q. , On a linear delay difference equations with impulses., Annals of Differential Equations, 18 (2), 197--204, (2002).
- Krall, A.M., Bairamov, E., Cakar, O., Spectral analysis of a non-selfadjoint discrete Schrödinger operators with spectral singularities, Math. Nachr., 231 (2001), 89-104.
- Bairamov, E., Cakar, O., Krall, A.M., Non-Selfadjoint Difference Operators and Jacobi Matrices with Spectral Singularities, Math. Nachr., 229 (2001), 5-14.
- Adıvar, M., Bairamov, E., Difference Equations of Second Order with Spectral Singularities, J. Math. Anal. Appl., 277 (2003), 714--721.
- Olgun, M., Koprubasi, T.,Aygar, Y., Principal Functions of Non-Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions, Abst. and Appl. Anal., 608329, (2011), 10 pp.
- Naimark, M.A., Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoit operators of second order on a semi-axis, AMS Transl., 2(16) (1960), 103-193.
- Guseinov, G. Sh., On the concept of spectral singularities, Pramana J. Phys., 73(3) (2009), 587-603.
- Bender, C. M., Boettcher, S., Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett., 80(24), (1998), 5243-5246.
- Albeverio, S., Dabrowski, L., Kurasov, P., Symmetries of Schrödinger operators with Point Interactions, Letters in Mathematical Physics, 45 (1998), 33-47.
- Mostafazadeh, A., Spectral Singularities of a General Point Interaction, J. Phys. A. Math. Theory, 44 (375302) (2011), 9 p).
- Atkinson, F. V., Discrete and Continuous Boundary Problems, Academic Press Inc., 1964.
| APA | BAYRAM E, Cebesoy Ş, SOLMAZ S (2021). Spectrum and symmetries of the impulsive difference equations. , 38 - 51. 10.31801/cfsuasmas.669708 |
| Chicago | BAYRAM ELGIZ,Cebesoy Şerifenur,SOLMAZ SEYDA Spectrum and symmetries of the impulsive difference equations. (2021): 38 - 51. 10.31801/cfsuasmas.669708 |
| MLA | BAYRAM ELGIZ,Cebesoy Şerifenur,SOLMAZ SEYDA Spectrum and symmetries of the impulsive difference equations. , 2021, ss.38 - 51. 10.31801/cfsuasmas.669708 |
| AMA | BAYRAM E,Cebesoy Ş,SOLMAZ S Spectrum and symmetries of the impulsive difference equations. . 2021; 38 - 51. 10.31801/cfsuasmas.669708 |
| Vancouver | BAYRAM E,Cebesoy Ş,SOLMAZ S Spectrum and symmetries of the impulsive difference equations. . 2021; 38 - 51. 10.31801/cfsuasmas.669708 |
| IEEE | BAYRAM E,Cebesoy Ş,SOLMAZ S "Spectrum and symmetries of the impulsive difference equations." , ss.38 - 51, 2021. 10.31801/cfsuasmas.669708 |
| ISNAD | BAYRAM, ELGIZ vd. "Spectrum and symmetries of the impulsive difference equations". (2021), 38-51. https://doi.org/10.31801/cfsuasmas.669708 |
| APA | BAYRAM E, Cebesoy Ş, SOLMAZ S (2021). Spectrum and symmetries of the impulsive difference equations. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70(1), 38 - 51. 10.31801/cfsuasmas.669708 |
| Chicago | BAYRAM ELGIZ,Cebesoy Şerifenur,SOLMAZ SEYDA Spectrum and symmetries of the impulsive difference equations. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70, no.1 (2021): 38 - 51. 10.31801/cfsuasmas.669708 |
| MLA | BAYRAM ELGIZ,Cebesoy Şerifenur,SOLMAZ SEYDA Spectrum and symmetries of the impulsive difference equations. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.70, no.1, 2021, ss.38 - 51. 10.31801/cfsuasmas.669708 |
| AMA | BAYRAM E,Cebesoy Ş,SOLMAZ S Spectrum and symmetries of the impulsive difference equations. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(1): 38 - 51. 10.31801/cfsuasmas.669708 |
| Vancouver | BAYRAM E,Cebesoy Ş,SOLMAZ S Spectrum and symmetries of the impulsive difference equations. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(1): 38 - 51. 10.31801/cfsuasmas.669708 |
| IEEE | BAYRAM E,Cebesoy Ş,SOLMAZ S "Spectrum and symmetries of the impulsive difference equations." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70, ss.38 - 51, 2021. 10.31801/cfsuasmas.669708 |
| ISNAD | BAYRAM, ELGIZ vd. "Spectrum and symmetries of the impulsive difference equations". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70/1 (2021), 38-51. https://doi.org/10.31801/cfsuasmas.669708 |
