Oscillation criteria for even order neutral differential equations
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Oscillation criteria are given for even order neutral type differential equations of the following form
[x(t)+a(t)x(τ(t))](n)+ƒ(t,x(t),x(σ(t)))=0
, where f(t, x, y) ∈ C([0, ∞) × R2, R) and a, τ, σ ∈ C([0, ∞), R) such that 0 ≤ a(t) < 1, τ(t) < t, σ(t) ≤ t, and limt→∞ τ(t) = limt→∞σ(t) = ∞.
[1] J. Hale. Theory of Functional Differential Equations , 1977 .
[2] T. Kusano,et al. Nonlinear oscillation of a sublinear delay equation of arbitrary order , 1973 .
[3] D. Bainov,et al. Oscillation Theory for Neutral Differential Equations with Delay , 1991 .
[4] V. Lakshmikantham,et al. Oscillation Theory of Differential Equations With Deviating Arguments , 1987 .
[5] Asymptotic Behavior and Oscillation in Higher Order Nonlinear Differential Equations with Retarded Arguments , 1997 .