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Zeitschrift für angewandte Mathematik und Physik

, Volume 66, Issue 4, pp 1737–1749 | Cite as

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

  • Fatma HıraEmail author
  • Nihat Altınışık
Article

Abstract

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.

Keywords

Whittaker–Shannon’s sampling theory Kramer’s sampling theory Discontinuous Sturm–Liouville problems 

Mathematics Subject Classification

34L10 34B24 41A05 94A20 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of Mathematics, Arts and Science FacultyOndokuz Mayıs UniversitySamsunTurkey

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