On the spectral singularities of Klein-Gordon equation under interface conditions

BAYRAM E., ERDAL İ., Taş H.

Filomat, cilt.40, sa.3, ss.1133-1146, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.2298/fil2603133b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1133-1146
  • Anahtar Kelimeler: eigenvalues, interface conditions, Klein-Gordon equation, spectral singularities
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, we begin by deriving the differential operator associated with the Klein-Gordon equation under interface conditions. Next, we introduce the transfer matrix and the resolvent operator for the Klein-Gordon operator with interface conditions, observing that the zeros of a component of the transfer matrix coincide with the poles of the resolvent operator. Building on this observation, we use the transfer matrix to characterize the eigenvalues and spectral singularities of mentioned operator through an alternative approach. Finally, we establish the finiteness of eigenvalues and spectral singularities, with finite multiplicities, under certain specific conditions.