Publication details
Non-oscillation of half-linear differential equations with periodic coefficients
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| web | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3311 |
| Doi | https://doi.org/10.14232/ejqtde.2015.1.1 |
| Field | General mathematics |
| Keywords | half-linear equations; Euler type equations; oscillation theory; conditional oscillation; oscillation constant |
| Description | We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory equations from non-oscillatory ones. In this paper, we study oscillatory properties in the border case. More precisely, we prove that the considered equations are non-oscillatory in this case. Our results cover the situation when the periodic coefficients do not have any common period. |
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