Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations

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Authors

HASIL Petr VESELÝ Michal

Year of publication 2023
Type Article in Periodical
Magazine / Source Applied Mathematics Letters
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.aml.2023.108632
Doi http://dx.doi.org/10.1016/j.aml.2023.108632
Keywords Riccati technique; Riccati equation; Half -linear equation; Linear difference equation; Oscillation
Description Applying a modification of the adapted Riccati technique, we introduce a new type of oscillation criteria for generalizations of the Euler half-linear difference equation. Our main criterion is new in many cases. This fact is documented by corollaries and examples. In particular, we obtain new results for linear equations.
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