Paper title:

On Two-Fold Expansion Formulas For A Singular Sturm-Liouville Operator

DOI: https://doi.org/10.4316/JACSM.201902007
Published in: Issue 2, (Vol. 13) / 2019
Publishing date: 2019-12-16
Pages: 45-49
Author(s): ALA Volkan, MAMEDOV Khanlar R.
Abstract. In this paper, a singular Sturm-Liouville problem dependent spectral parameter in boundary condition is considered. Special solutions and scattering datas are defined. The resolvent operator is constructed and two-fold spectral expansion formulas in terms of scattering datas are obtained by using Titchmarsh method
Keywords: Eigenfunctions, Expansion Formula, Resolvent Operator, Scattering Data
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