EIGENFUNCTION EXPANSION FOR SINGULAR STURM-LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS


Allahverdiev B. P. , TUNA H.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2019
  • Title of Journal : ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

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.