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

Abstract

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