Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | half-linear difference equation; Riccati technique; Hartman-Wintner lemma; discrete oscillation; conjugacy criteria |
| Description | We discuss oscillatory properties of the second order half-linear difference equation. In particular, we establish the discrete half--linear extension of the Hartman--Wintner lemma and oscillatory and conjugacy criteria as an application of this lemma. The proofs of all these results and also of the most of other statements in this paper are based on the Riccati technique. |
| Related projects: |