Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | AIMS Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.aimspress.com/article/doi/10.3934/math.2022596 |
| Doi | http://dx.doi.org/10.3934/math.2022596 |
| Keywords | linear equation; differential equation; conditional oscillation; non-oscillation; logarithm |
| Description | 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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