Oscillatory properties of functional differential equations (Q1178469)

The oscillatory and asymptotic behavior of the \(n\)th order \((n\geq 1)\) differential equations with deviating arguments \[ {d\over dt}{1\over a_{n-1}(t)}\cdots{d\over dt}{1\over a_ 1(t)}{d\over dt}x(t)+\delta f(t,x[g_ 1(t)],\ldots,x[g_ m(t)])=0 \] are studied in the paper. Different lemmas and theorems are proved in order to establish new criteria. Some examples illustrate the results obtained.