Publication details
Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Symplectic system; Riccati matrix equation; Riccati matrix inequality; Recessive solution; Distinguished solution; Nonoscillation |
| Description | In this paper we study the asymptotic properties of the distinguished solutions of Riccati matrix equations and inequalities for discrete symplectic systems. In particular, we generalize the inequalities known for symmetric solutions of Riccati matrix equations to Riccati matrix inequalities. We also justify the definition and properties of the distinguished solution and the recessive solution at minus infinity by relating them to their counterparts at plus infinity. |