OSCILLATORY AND SPECTRAL PROPERTIES OF A CLASS OF FOURTH–ORDER DIFFERENTIAL OPERATORS VIA A NEW HARDY–TYPE INEQUALITY

dc.contributor.author	OINAROV, RYSKUL
dc.contributor.author	KALYBAY, AIGERIM
dc.contributor.author	PERSSON, LARS-ERIK
dc.date.accessioned	2024-12-18T06:57:12Z
dc.date.available	2024-12-18T06:57:12Z
dc.date.issued	2024
dc.identifier.issn	1848-9575
dc.identifier.other	doi:10.7153/mia-2024-27-05
dc.identifier.uri	http://rep.enu.kz/handle/enu/20312
dc.description.abstract	In this paper, we study oscillatory properties of a fourth-order differential equation and spectral properties of a corresponding differential operator. These properties are established by first proving a new second-order Hardy-type inequality, where the weights are the coefficients of the equation and the operator. This new inequality, in its turn, is established for functions satisfying certain boundary conditions that depend on the boundary behavior of one of its weights at infinity and at zero.	ru
dc.language.iso	en	ru
dc.publisher	Mathematical Inequalities & Applications	ru
dc.relation.ispartofseries	Volume 27, Number 1 (2024), 63–83;
dc.subject	Inequalities	ru
dc.subject	second-order Hardy-type inequality	ru
dc.subject	weights	ru
dc.subject	fourth-order differential equation	ru
dc.subject	differential operator	ru
dc.subject	oscillation	ru
dc.subject	non-oscillation	ru
dc.subject	spectral properties	ru
dc.subject	variational method	ru
dc.title	OSCILLATORY AND SPECTRAL PROPERTIES OF A CLASS OF FOURTH–ORDER DIFFERENTIAL OPERATORS VIA A NEW HARDY–TYPE INEQUALITY	ru
dc.type	Article	ru