On a Basic Problem for a Second Order Differential Equation With a Discontinuous Coefficient and a Spectral Parameter in the Boundary Conditions

Mamedov, Khanlar R.

doi:10.7546/giq-7-2006-218-225

VOL. 7 | 2006 On a Basic Problem for a Second Order Differential Equation With a Discontinuous Coefficient and a Spectral Parameter in the Boundary Conditions

Chapter Author(s) Khanlar R. Mamedov

Editor(s) Ivaïlo M. Mladenov, Manuel de León

Geom. Integrability & Quantization, 2006: 218-225 (2006) DOI: 10.7546/giq-7-2006-218-225

Abstract

In the present paper we investigate the completeness, minimality and basic properties of the eigenfunctions of one discontinuous Sturm–Liouville problem with a spectral parameter in boundary conditions and transmission conditions.