q-Dominant and q-recessive matrix solutions for linear quantum systems
D. R. Anderson, Concordia College, Moorhead, MN, U.S.A. E. J. Qualitative Theory of Diff. Equ., No. 11. (2007), pp. 1-29.
L. M. Moats, Concordia College, Moorhead, MN, U.S.A.
| Communicated by P. Eloe. | Received on 2007-03-15 Appeared on 2007-05-25 |
Abstract: In this study, linear second-order matrix $q$-difference equations are shown to be formally self-adjoint equations with respect to a certain inner product and the associated self-adjoint boundary conditions. A generalized Wronskian is introduced and a Lagrange identity and Abel's formula are established. Two reduction-of-order theorems are given. The analysis and characterization of $q$-dominant and $q$-recessive solutions at infinity are presented, emphasizing the case when the quantum system is disconjugate.
You can download the full text of this paper in DVI, PostScript or PDF format.