KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Investigation of an impulsive Sturm-Liouville operator on semi axis

Şeyhmus Yardımcı
İbrahim Erdal
Sayfa
1409–1416
Yayın Tarihi
2022-10-18
DOI
—
🏛️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)

By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis.
📊
Temel Bulgular & Veri:The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis.
💡
Sonuç & Katkı:By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sturm-Liouville operators · boundary value problems · impulsive conditions

Abstract

The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis. By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.

🔖

Bu Makaleye Atıf Yap

Yardımcı, Ş., Erdal, İ. (2022). Investigation of an impulsive Sturm-Liouville operator on semi axis. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1409–1416. https://ajindex.com/articles/530153

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. M. Adivar and E. Bairamov, Spectral singularities of the nonhomogeneous Sturm- Liouville equations, Appl. Math. Lett. 15 (7), 825–832, 2002
  2. B.P. Allahverdiev, E. Bairamov and E. Ugurlu, Eigenparameter dependent Sturm- Liouville problems in boundary conditions with transmission conditions, J. Math. Anal. Appl. 401 (1), 388–396, 2013
  3. G. Başcanbaz and E. Bairamov, Discrete spectrum and principal functions of non- selfadjoint differential operator, Czechoslovak Math. J. 49 (124)(4), 689–700, 1999
  4. D. Bainov and P. Simeonov, Oscillation theory of impulsive differential equations, International Publications, Orlando, FL, 1998
  5. E. Bairamov and A.O. Çelebi, Spectral analysis of nonselfadjoint Schrödinger opera- tors with spectral parameter in boundary conditions, Facta Univ. Ser. Math. Inform. 13, 79–94, 1998
  6. E. Bairamov and E. Kir, Spectral properties of a finite system of Sturm-Liouville differential operators, Indian J. Pure Appl. Math. 35 (2), 249–256, 2004
  7. E. Bairamov, Y. Aygar and B. Eren, Scattering theory of impulsive Sturm-Liouville equations, Filomat, 31, 5401–5409, 2017
  8. E. Bairamov, Ö Çakar and A.M. Krall, An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities, J. Differential Equations, 151 (2), 268–289, 1999
  9. G.Sh. Guseinov, On the concept of spectral singularities, Pramana-J. Phys. 73 (3), 587–603, 2009
  10. H.M. Huseynov and A.H. Jamshidipour, On Jost solutions of Sturm-Liouville equa- tions with spectral parameter in discontinuity condition, Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. 30 (4, Mathematics), 61–68, 2010
  11. A.M. Krall, E. Bairamov and Ö. Çakar, Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition, J. Dif- ferential Equations, 151 (2), 252–267, 1999
  12. B.M. Levitan and I.S. Sargsyan, Sturm-Liouville and Dirac Operators, “Nauka”, Moscow, 1988
  13. V.A. Marchenko, Sturm-Liouville operators and applications, volume 22 of Operator Theory: Advances and Applications, Birkhäuser Verlag, Basel, 1986. Translated from the Russian by A. Iacob
  14. A. Mostafazadeh, Spectral singularities of a general point interaction, J. Phys. A. 6 (1), 47–55, 2011
  15. A. Mostafazadeh and H. Mehri-Dehnavi, Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions, J. Phys. A. 42 (12), 125303, 1–27, 2009
  16. O.Sh. Mukhtarov and E. Tunç, Eige