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@article{2383758, author = {Hasil, Petr and Veselý, Michal}, article_number = {6}, doi = {http://dx.doi.org/10.1002/mma.9814}, keywords = {difference equations; Euler type; half-linear equations; linear equations; oscillation; Riccati technique}, language = {eng}, issn = {0170-4214}, journal = {Mathematical Methods in the Applied Sciences}, title = {Oscillation criterion for Euler type half-linear difference equations}, url = {https://onlinelibrary.wiley.com/doi/10.1002/mma.9814}, volume = {47}, year = {2024} }
TY - JOUR ID - 2383758 AU - Hasil, Petr - Veselý, Michal PY - 2024 TI - Oscillation criterion for Euler type half-linear difference equations JF - Mathematical Methods in the Applied Sciences VL - 47 IS - 6 SP - 4283-4305 EP - 4283-4305 PB - Wiley SN - 01704214 KW - difference equations KW - Euler type KW - half-linear equations KW - linear equations KW - oscillation KW - Riccati technique UR - https://onlinelibrary.wiley.com/doi/10.1002/mma.9814 N2 - We consider general classes of Euler type linear and half-linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non-oscillation criterion. Thus, in this paper, we enlarge the set of conditionally oscillatory Euler type difference equations. We highlight that our results are new even for linear equations with periodic coefficients. This fact is documented by simple examples of such equations at the end of this paper. ER -
HASIL, Petr a Michal VESELÝ. Oscillation criterion for Euler type half-linear difference equations. \textit{Mathematical Methods in the Applied Sciences}. Wiley, 2024, roč.~47, č.~6, s.~4283-4305. ISSN~0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.9814.
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