Sampling theorems for Sturm-Liouville problem with moving discontinuity points

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Hıra F., Altınışık N.

BOUNDARY VALUE PROBLEMS, cilt.2014, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/s13661-014-0237-9
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: sampling theory, moving discontinuity point, discontinuous Sturm-Liouville problem, Green's function, LAGRANGE INTERPOLATION, EIGENVALUE PARAMETER, BOUNDARY-CONDITIONS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined depending on a parameter in a neighborhood of a midpoint of the interval. Also the problem has transmission conditions at these points of discontinuity and includes an eigenparameter in a boundary condition. We establish briefly the relations needed for the derivations of the sampling theorems and construct the Green's function for the problem. Then we derive sampling representations for the solutions and Green's functions.