Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm
| Autoři | |
|---|---|
| Rok publikování | 2022 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | AIMS Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.aimspress.com/article/doi/10.3934/math.2022596 |
| Doi | http://dx.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. |
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