Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions
Baiarystanov A. Kalybay A. Oinarov R.
December 2022Springer Science and Business Media Deutschland GmbH
Boundary Value Problems
2022#2022Issue 1
In the paper, we study the oscillatory and spectral properties of a fourth-order differential operator. These properties are established based on the validity of some weighted second-order differential inequality, where the inequality’s weights are the coefficients of the operator. The inequality, in turn, is established for functions satisfying certain boundary conditions that depend on the boundary behavior of its weights at infinity and at zero.
Fourth-order differential equation , Nonoscillation , Oscillation , Variational principle , Weighted inequality
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L.N. Gumilyov Eurasian National University, 5 Munaytpasov Street, Nur-Sultan, 010008, Kazakhstan
KIMEP University, 4 Abay Avenue, Almaty, 050010, Kazakhstan
L.N. Gumilyov Eurasian National University
KIMEP University
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