Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations

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Authors

ŘEHÁK Pavel

Year of publication 2000
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Education

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.
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