Spectral Characteristics of Impulsive Schrödinger Equations With Boundary Spectral Parameter
Mathematical Methods in the Applied Sciences, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1002/mma.71019
- Dergi Adı: Mathematical Methods in the Applied Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: eigenvalues, impulsive condition, quadratic pencil of Schrödinger equations, resolvent operator, spectral singularities
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the spectral properties of an impulsive Schrödinger equation under an impulsive condition. First, we find the Jost solution and some special solutions of the problem. Using these solutions, we give the resolvent operator of the impulsive problem. Second, we present some asymptotic equations to get the spectral properties. Then, we find the sets of eigenvalues and spectral singularities of the problem. Finally, we investigate the characteristics of eigenvalues and spectral singularities.