Displaying similar documents to “Note on the asymptotic behavior of the solutions of differential equations with deviating arguments”

On the asymptotic behavior of a class of third order nonlinear neutral differential equations

Blanka Baculíková, Jozef Džurina (2010)

Open Mathematics

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The objective of this paper is to study asymptotic properties of the third-order neutral differential equation a t x t + p t x σ t ' ' γ ' + q t f x τ t = 0 , t t 0 . E . We will establish two kinds of sufficient conditions which ensure that either all nonoscillatory solutions of (E) converge to zero or all solutions of (E) are oscillatory. Some examples are considered to illustrate the main results.