Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications

2021

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DOI 10.3390/math9212830
Data confidence 70 medium
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Abstract

In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality of independent interest.