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L'Autore considera il sistema x' = f(t,x) e il sistema perturbato y' = f(t,y) + g(t,y) e dà condizioni sufficienti atte ad assicurare la limitatezza delle soluzioni del sistema perturbati. In particolare è considerato il caso in cui f(t,y) è lineare.
Si considerano generali sistemi di equazioni differenziali ordinarie ed in particolare lineari e si danno condizioni sufficienti alle quali devono soddisfare perturbazioni dei dati, determinanti la soluzione dei detti sistemi, affinché questa si mantenga entro confini prescritti.
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