Oscillation and spectral properties of some classes of higher order differential operators and weighted $n$th order differential inequalities
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 3,p. 1-20
- https://doi.org/10.14232/ejqtde.2021.1.3
Abstract
In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its coefficients in a neighborhood of infinity. Moreover, we establish some spectral properties of the corresponding higher order differential operator. In order to prove these we establish a certain weighted differential inequality of independent interest.Keywords
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