Investigation of an impulsive Sturm-Liouville operator on semi axis

YARDIMCI Ş., ERDAL İ.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.5, ss.1409-1416, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2018.591
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1409-1416
  • Anahtar Kelimeler: Sturm-Liouville operators, boundary value problems, impulsive conditions, asymptotics, spectral singularities, SPECTRAL SINGULARITIES, SCHRODINGER OPERATOR, QUADRATIC PENCIL
  • Ankara Üniversitesi Adresli: Evet

Özet

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.