Turkish Journal of Mathematics
Abstract
Basicity of the system of eigenfunctions of some\textbf{ }discontinuous spectral problem for a second order differential equation with spectral parameter in boundary condition for grand-Lebesgue space $L_{p)} (-1;1)$ is studied in this work. Since the space is nonseparable, a subspace suitable for the spectral problem is defined. The subspace $G_{p)} (-1;1)$ of $L_{p)} (-1;1)$ generated by shift operator is considered. Basicity of the system of eigenfunctions for the space $G_{p)} (-1;1)\oplus C$, $1
DOI
10.3906/mat-2003-20
Keywords
Grand Lebesgue space, eigenfunctions, basicity, completeness, minimality, discontinuous spectral problem
First Page
1595
Last Page
1611
Recommended Citation
ZEREN, YUSUF; ISMAILOV, MIQDAD; and ŞİRİN, FATİH
(2020)
"On basicity of the system of eigenfunctions of one discontinuous spectral problem for second order differential equation for grand-Lebesgue space,"
Turkish Journal of Mathematics: Vol. 44:
No.
5, Article 6.
https://doi.org/10.3906/mat-2003-20
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss5/6
