Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 70 Issue: 1

Spectrum and symmetries of the impulsive difference equations

Şerifenur Cebesoy(Çankırı Karatekin University)0000-0003-3571-6386
Sayfa
—
Yayın Tarihi
2021-06-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We determine a transfer matrix and this allows us to investigate the locations of eigenvalues and spectral singularites of the difference operator generated in $\ell_{2}(\Z)$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper deals with the spectral analysis and symmetries of the second order difference equations with impulse.
📊
Temel Bulgular & Veri:This paper deals with the spectral analysis and symmetries of the second order difference equations with impulse.
💡
Sonuç & Katkı:We determine a transfer matrix and this allows us to investigate the locations of eigenvalues and spectral singularites of the difference operator generated in $\ell_{2}(\Z)$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Impulsive equations · eigenvalues · spectral singularities

Abstract

This paper deals with the spectral analysis and symmetries of the second order difference equations with impulse. We determine a transfer matrix and this allows us to investigate the locations of eigenvalues and spectral singularites of the difference operator generated in $\ell_{2}(\Z)$.

🔖

Bu Makaleye Atıf Yap

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, Volume: 70 Issue: 1. https://doi.org/10.31801/cfsuasmas.669708

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (19)

  1. 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.
  2. 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.
  3. Lakshmikantham, V., Bainov, D. D., Simeonov, P. S., Theory of impulsive differential equations, World Scientific, Singapore, 1998.
  4. Bainov, D. D., Simeonov, P. S., Oscillation theory of impulsive differential equations, Int. Publ., Orlando, 1998.
  5. 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.
  6. Wang, P., Wang, W., Boundary value problems for first order impulsive difference equations, Int. Journal of Difference Equations, 1 (2006), 249-259.
  7. Zhang, Q., Q., On a linear delay difference equations with impulses., Annals of Differential Equations, 18 (2), 197--204, (2002).
  8. 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.
  9. Bairamov, E., Cakar, O., Krall, A.M., Non-Selfadjoint Difference Operators and Jacobi Matrices with Spectral Singularities, Math. Nachr., 229 (2001), 5-14.
  10. Adıvar, M., Bairamov, E., Difference Equations of Second Order with Spectral Singularities, J. Math. Anal. Appl., 277 (2003), 714--721.
  11. 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.
  12. 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.
  13. Guseinov, G. Sh., On the concept of spectral singularities, Pramana J. Phys., 73(3) (2009), 587-603.
  14. Bender, C. M., Boettcher, S., Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett., 80(24), (1998), 5243-5246.
  15. Albeverio, S., Dabrowski, L., Kurasov, P., Symmetries of Schrödinger operators with Point Interactions, Letters in Mathematical Physics, 45 (1998), 33-47.
  16. Mostafazadeh, A., Spectral Singularities of a General Point Interaction, J. Phys. A. Math. Theory, 44 (375302) (2011), 9 p).
  17. Atkinson, F. V., Discrete and Continuous Boundary Problems, Academic Press Inc., 1964.
  18. 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.
  19. Zhang, Q., Q., On a linear delay difference equations with impulses., Annals of Differential Equations, 18 (2), 197--204, (2002).