Spectral properties of an impulsive Sturm-Liouville operator

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Bayram E., Erdal İ., Yardımcı Ş.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2018, 2018 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2018
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13660-018-1781-0
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Impulsive operators, Sturm-Liouville equations, Eigenvalues, Spectral singularities, Scattering function, TRANSMISSION CONDITIONS, DIFFERENCE-EQUATIONS, SINGULARITIES
  • Ankara Üniversitesi Adresli: Evet

Özet

This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm-Liouville equation. We present a different method to investigate the spectral singularities and eigenvalues of the mentioned operator. We also obtain the finiteness of eigenvalues and spectral singularities with finite multiplicities under some certain conditions. Finally, we illustrate our results by a detailed example.