Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations
| Autoři | |
|---|---|
| Rok publikování | 2000 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Mathematical Analysis and Applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | half-linear difference equation; Riccati technique; Hartman-Wintner lemma; discrete oscillation; conjugacy criteria |
| Popis | 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. |
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