Bilender P. Allahverdiev, Huseyin Tuna
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.
Submitted December 11, 2017. Published January 6, 2018.
Math Subject Classifications: 34B24, 34A37, 34L10, 47E05.
Key Words: Sturm-Liouville operator; singular point; transmission condition;
spectral function; Parseval equality; eigenfunction expansion.
Show me the PDF file (205 KB), TEX file for this article.
Bilender P. Allahverdiev Department of Mathematics Suleyman Demirel University 32260 Isparta, Turkey email: bilenderpasaoglu@sdu.edu.tr | |
Hüseyin Tuna Department of Mathematics Mehmet Akif Ersoy University 15030 Burdur, Turkey email: hustuna@gmail.com |
Return to the EJDE web page