Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter

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Hıra F., Altınışık N.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, cilt.66, sa.4, ss.1737-1749, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00033-015-0505-2
  • Dergi Adı: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1737-1749
  • Anahtar Kelimeler: Whittaker-Shannon's sampling theory, Kramer's sampling theory, Discontinuous Sturm-Liouville problems, LAGRANGE INTERPOLATION, EIGENFUNCTIONS, EIGENVALUES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we derive the sampling theorem associated with a Sturm-Liouville problem which has two points of discontinuity and contains an eigenparameter in a boundary condition and also two transmission conditions. We establish briefly spectral properties of the problem, and then, we prove the sampling theorem associated with the problem.