Singular comparison theorems for symplectic difference systems
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | J. Difference Equ. Appl. |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1080/10236198.2014.908862 |
| Field | General mathematics |
| Keywords | symplectic difference system; recessive solution; Riccati equation; comparative index |
| Attached files | |
| Description | We present new relations connecting the number of focal points of conjoined bases of eventually disconjugate symplectic difference systems with different coefficient matrices which obey a majorant condition at $\infty.$ For the case of controllable (near $\infty$) symplectic systems we investigate connections between the number of focal points of their recessive solutions. The consideration is based on the concept of minimal and maximal solutions of the associated Riccati matrix difference equations and the comparative index theory for discrete symplectic systems. |
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