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

Kalybay A. Oinarov R. Sultanaev Y.
2021 University of Szeged

Electronic Journal of Qualitative Theory of Differential Equations
2021 #2021 Issue 3 1 - 20 pp.

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.

Eigenvalues , Higher order differential operator , Non-oscillation , Nuclear operator , Oscillation , Spectrum discreteness , Spectrum positive definiteness , Variational principle , Weighted inequality

Text of the article Перейти на текст статьи

KIMEP University, 4 Abay Avenue, Almaty, 050010, Kazakhstan
L. N. Gumilyov, Eurasian National University, 5 Munaytpasov Street, Nur-Sultan, 010008, Kazakhstan
Akmulla Bashkir State Pedagogical University, 3a Oktyabrskaya revolution Street, Ufa, 450000, Russian Federation

KIMEP University
L. N. Gumilyov
Akmulla Bashkir State Pedagogical University

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026