On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics and Computation |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.amc.2010.08.029 |
| Field | General mathematics |
| Keywords | Discrete symplectic system; Weyl-Titchmarsh M-function; Regular spectral problem; Singular spectral problem; Riccati equation; Limit point case; Limit circle case; Green's function. |
| Attached files | |
| Description | Recently, Bohner and Sun introduced basic elements of a Weyl-Titchmarsh theory into the study of discrete symplectic systems. We extend this development through the introduction of Weyl-Titchmarsh functions together with a preliminary study of their properties. A limit point criterion is described and characterized. Green's function for the half-line is introduced as a limit of such functions in the regular case and half-line solutions obtained are seen to satisfy lambda-dependent boundary conditions at infinity. |
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