Oscillation criterion for Euler type half-linear difference equations

• Autoři: HASIL Petr; VESELÝ Michal
• Rok publikování: 2024
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Mathematical Methods in the Applied Sciences
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://onlinelibrary.wiley.com/doi/10.1002/mma.9814
• Doi: http://dx.doi.org/10.1002/mma.9814
• Klíčová slova: difference equations; Euler type; half-linear equations; linear equations; oscillation; Riccati technique
• Popis: 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.

Související projekty

• Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace