Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm

• Autoři: HASIL Petr; VESELÝ Michal
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: AIMS Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://www.aimspress.com/article/doi/10.3934/math.2022596
• Doi: https://doi.org/10.3934/math.2022596
• Klíčová slova: linear equation; differential equation; conditional oscillation; non-oscillation; logarithm
• Popis: In this paper, we study linear differential equations whose coefficients consist of products of powers of natural logarithm and very general continuous functions. Recently, using the Riccati transformation, we have identified a new type of conditionally oscillatory linear differential equations together with the critical oscillation constant. The studied equations are a generalization of these equations. Applying the modified Prüfer angle, we prove that they remain conditionally oscillatory with the same critical oscillation constant.

Související projekty

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