Investigation of an impulsive Sturm-Liouville operator on semi axis
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.5, ss.1409-1416, 2019 (SCI-Expanded, Scopus, TRDizin)
- 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.