Weighted second-order differential inequality on set of compactly supported functions and its applications
Kalybay A. Oinarov R. Sultanaev Y.
November-1 2021MDPI
Mathematics
2021#9Issue 21
In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality of independent interest.
Fourth-order differential operator , Non-oscillation , Nuclear operator , Oscillation , Spectrum discreteness , Spectrum positive definiteness , Weighted inequality
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Department of Economics, KIMEP University, 4 Abay Ave., Almaty, 050010, Kazakhstan
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaytpasov St., Nur-Sultan, 010008, Kazakhstan
Faculty of Physics and Mathematics, Akmulla Bashkir State Pedagogical University, 3a Oktyabrskoy Revolutsii St., Ufa, 450000, Russian Federation
Department of Economics
Department of Mechanics and Mathematics
Faculty of Physics and Mathematics
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