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, Y, ISMAILOV, M, & ŞİRİN, F (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 44 (5): 1595-1611. https://doi.org/10.3906/mat-2003-20
