SECOND-ORDER HARDY-TYPE INEQUALITY AND ITS APPLICATIONS
Oinarov R. Kalybay A.
August 2023A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University
Transactions of A. Razmadze Mathematical Institute
2023#177Issue 2237 - 245 pp.
In this paper, we characterize a new second-order Hardy-type inequality and find a two-sided estimate for its least constant. As applications of this new inequality, we study oscillatory properties of a fourth-order differential equation and spectral properties of a corresponding differential operator.
Differential operator , Fourth-order differential equation , Non-oscillation , Oscillation , Second-order Hardy-type inequality , Spectral properties , Weights
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L.N. Gumilyov Eurasian National University
KIMEP University
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