ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol.66, no.4, pp.1737-1749, 2015 (SCI-Expanded)
Article / Article
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Whittaker-Shannon's sampling theory, Kramer's sampling theory, Discontinuous Sturm-Liouville problems, LAGRANGE INTERPOLATION, EIGENFUNCTIONS, EIGENVALUES
Ondokuz Mayıs University Affiliated:
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.