Oscillation of solutions to odd-order nonlinear neutral functional differential equations.

Li, Tongxing; Thandapani, Ethiraju

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Oscillation criteria for functional differential equations.

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Kamenev-type oscillation criteria for second-order quasilinear differential equations.

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On property (B) of higher order delay differential equations

Blanka Baculíková, Jozef Džurina (2012)

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In this paper we offer criteria for property (B) and additional asymptotic behavior of solutions of the $n$ -th order delay differential equations ${(r (t) {[x^{(n - 1)} (t)]}^{γ})}^{'} = q (t) f (x (τ (t))) .$ Obtained results essentially use new comparison theorems, that permit to reduce the problem of the oscillation of the n-th order equation to the the oscillation of a set of certain the first order equations. So that established comparison principles essentially simplify the examination of studied equations. Both cases $\int^{\infty} r^{- 1 / γ} (t) t = \infty$ and $\int^{\infty} r^{- 1 / γ} (t) t < \infty$ are discussed. ...