Oscillation and spectral properties of some classes of higher order differential operators and weighted nth order differential inequalities

被引：4

作者：

Kalybay, Aigerim ^{[1
]}

Oinarov, Ryskul ^{[2
]}

Sultanaev, Yaudat ^{[3
]}

机构：

[1] KIMEP Univ, 4 Abay Ave, Alma Ata 050010, Kazakhstan

[2] LN Gumilyov Eurasian Natl Univ, 5 Munaytpasov St, Nur Sultan 010008, Kazakhstan

[3] Akmulla Bashkir State Pedag Univ, 3a Oktyabrskaya Revolut St, Ufa 450000, Russia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2021年 / 03期

关键词：

higher order differential operator; oscillation; non-oscillation; variational principle; weighted inequality; eigenvalues; spectrum discreteness; spectrum positive definiteness; nuclear operator; NONOSCILLATION; DISCRETENESS; TERM;

D O I：

10.14232/ejqtde.2021.1.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 20

页数：20

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