EIGENFUNCTION EXPANSION FOR SINGULAR STURM-LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2019
- Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Süleyman Demirel University Affiliated: Yes
Abstract
In this work, we show the existence of a spectral function for a singular Sturm-Liouville problem with transmission condition. Also we establish a Parseval equality and expansion formula in eigenfunctions in terms of the spectral function.