Oscillation of Functional Differential Equations of n-th Order with Distributed Deviating Arguments

Abstract

<p>We establish conditions for the oscillation and asymptotic behavior of non-oscillatory solutions of the following functional differential equation with distributed deviating arguments</p> <pre>y⁽ⁿ⁾(t) + p(t)y^(n-1)(t) + ∫^b_α q(t, ξ) ƒ(y(t), y(t - τ(t, ξ))) dσ(ξ) d = 0,</pre> <p>We find explicit sufficient conditions for the oscillation as lower bounds for moments of the integral kernel q.</p>