Oscillatory criteria via linearization of half-linear second order delay differential equations

In the paper, we study oscillation of the half-linear second order delay differential equations of the form \[\left(r(t)(y'(t))^{\alpha}\right)'+p(t)y^{\alpha}(\tau(t))=0.\] We introduce new monotonic properties of its nonoscillatory solutions and use them for linearization of considered e...

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Bibliographic Details
Main Authors: Blanka Baculíková, Jozef Džurina
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-10-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/5/art/opuscula_math_4029.pdf