On q Sturm Liouville Operator with Periodic Boundary Conditions

Cabri O., Toprakseven Ş.

Contemporary Mathematics (Singapore), cilt.5, sa.4, ss.4309-4322, 2024 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37256/cm.5420245208
  • Dergi Adı: Contemporary Mathematics (Singapore)
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.4309-4322
  • Anahtar Kelimeler: eigenfunctions, eigenvalues, periodic boundary conditions, q-Sturm Liouville
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this study, we consider q-Sturm Liouville operator with periodic boundary conditions. An asymptotic expression of the solution is obtained. With the help of this asymptotic representation, an asymptotic solution of the characteristic equation is presented. An application of the Rouche theorem, asymptotic expressions of eigenvalues are obtained.