Oscillation of linear and half-linear differential equations via generalized Riccati technique

• Autoři: HASIL Petr; VESELÝ Michal
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Revista Matemática Complutense
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://link.springer.com/article/10.1007/s13163-021-00407
• Doi: https://doi.org/10.1007/s13163-021-00407-w
• Klíčová slova: Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique
• Popis: In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries.

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