An Impulsive Sturm-Liouville Problem with Boundary Conditions Containing Herglotz-Nevanlinna Type Functions

Authors

A. Sinan Ozkan, Department of Mathematics, Faculty Science, Cumhuriyet University, 58140, Sivas, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In this article, an impulsive Sturm–Liouville boundary value problem with boundary conditions contain Herglotz– Nevanlinna type rational functions of the spectral parameter is considered. It is shown that the coefficients of the problem are uniquely determined by either the Weyl function or by the Pr¨ufer angle or by the classical spectral data consist of eigenvalues and norming constants.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090126

Recommended Citation

Sinan Ozkan, A. (2015) "An Impulsive Sturm-Liouville Problem with Boundary Conditions Containing Herglotz-Nevanlinna Type Functions," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 33.
DOI: http://dx.doi.org/10.12785/amis/090126
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/33