Abstract

First, an oscillation theorem is presented for the n-th order delay differential equation\[ (r(t)x'(t))(n-1)+∑k_{i=1}fi(t)Fi(xτ_i(t), x'τ_i(t), ..., x(n-1)τ_i(t))=b(t), r(t)>0.\]Then the asymptotic behavior of bounded oscillatory solutions of the above equations is investigated.

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