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.
Related projects:	Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace