TURKISH JOURNAL OF MATHEMATICS, vol.45, no.3, pp.1479-1494, 2021 (Journal Indexed in SCI)
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.