Oscillatory and asymptotic characterization of the solutions of higher order forced differential equations generated by deviating arguments

Abstract

In questo lavoro si classificano tutte le soluzioni dell'equazione differenziale non lineare forzata con argomenti devianti: \[ X^{(n)}(t)+\overset{m}{\underset{i=1}{\sum}f_{i}(t},x[g_{i1}(t)],\ldots,x[g_{ir}(t)])=\Phi(t) \] con riguardo al loro comportamento per $t\rightarrow\infty$e al loro carattere oscillatorio.

In this paper we classify all solutions of the nonlinear forced diffrential equation with deviating arguments: \[ X^{(n)}(t)+\overset{m}{\underset{i=1}{\sum}f_{i}(t},x[g_{i1}(t)],\ldots,x[g_{ir}(t)])=\Phi(t) \] with respect to their behavior as $t\rightarrow\infty$ and to their oscillatory character.