Properties of critical and subcritical second order self-adjoint linear equations
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Mathematica Slovaca |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1515/ms-2021-0045 |
| Doi | http://dx.doi.org/10.1515/ms-2021-0045 |
| Keywords | critical equation; Riccati equation; difference equation; coefficient delayed equation |
| Description | We discuss critical and subcritical linear second-order difference equations, and we observe several identities and inequalities which such equations satisfy depending on their coefficients. Later, we investigate the limit behaviour depending on the coefficients of solutions and of the sequences which appear when finding said solutions. We will see that certain identity is preserved in limit under weaker assumptions. Finally, we investigate a class of fourth-order linear difference equations and show that they are always 1-critical. |
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