Turkish Journal of Mathematics
Abstract
In this paper, we investigate the matrix-valued$\ q-$Sturm--Liouville problems. We establish an existence and uniqueness result. Later, we introduce the corresponding maximal and minimal operators for this system. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we characterize extensions (maximal dissipative, maximal accumulative, and self-adjoint) of the minimal symmetric operator.
DOI
10.3906/mat-2101-115
Keywords
Boundary value space, boundary condition, dissipative extensions, accretive extensions, self-adjoint extensions
First Page
1479
Last Page
1494
Recommended Citation
PAŞAOĞLU, B, & TUNA, H (2021). Extensions of the matrix-valued$\ q-$Sturm-Liouville operators. Turkish Journal of Mathematics 45 (3): 1479-1494. https://doi.org/10.3906/mat-2101-115
