Eigenfunction expansion for singular Sturm-Liouville problems with transmission conditions
Date
2019-01-06
Authors
Allahverdiev, Bilender P.
Tuna, Huseyin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Sturm-Liouville operator, Singular point, Transmission condition, Spectral function, Parseval equality, Eigenfunction expansion
Citation
Allahverdiev, B. P., & Tuna, H. (2019). Eigenfunction expansion for singular Sturm-Liouville problems with transmission conditions. <i>Electronic Journal of Differential Equations, 2019</i>(03), pp. 1-10.
Rights
Attribution 4.0 International