Weighted differential inequality and oscillatory properties of fourth order differential equations

Kalybay A. Oinarov R. Sultanaev Y.
2021 Springer Science and Business Media Deutschland GmbH

Journal of Inequalities and Applications
2021 #2021 Issue 1

In this paper, we investigate the oscillatory properties of two fourth order differential equations in dependence on boundary behavior of its coefficients at infinity. These properties are established based on two-sided estimates of the least constant of a certain weighted differential inequality.

Fourth order differential equation , Nonoscillation , Oscillation , Variational principle , Weighted inequality

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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 Oktyabrskoy Revolutsii Street, Ufa, 450008, Russian Federation

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

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