Sampling Theory for Sturm–Liouville Problem with Boundary and Transmission Conditions Containing an Eigenparameter

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. © 2015, Springer Basel.