Asymptotic and Oscillatory Behavior of Higher Order Quasilinear Delay Differential Equations
نویسنده
چکیده
In the paper, we offer such generalization of a lemma due to Philos (and partially Staikos), that yields many applications in the oscillation theory. We present its disposal in the comparison theory and we establish new oscillation criteria for n−th order delay differential equation (E) ` r(t) ˆ x ′(t) ̃ γ ́(n−1) + q(t)xγ(τ (t)) = 0. The presented technique essentially simplifies the examination of the higher order differential equations.
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