Oscillations Of Functional Differential Equations

Consider the rst order delay diierential equation x 0 (t) + p(t)x(t ?) = 0; > 0; t t 0 ; () and its discrete analogue Oscillation criteria are established for () in the case where 0 < liminf t!1 R t t? p (s) 1 e and limsup t!1 R t t? p(s)ds < 1, and for () 0 when liminf n!1 n?1 P i=n?k p i k k+1 k+1 and limsup n!1 n P i=n?k p i < 1. reziume. naSromSi ganxil u l ia pir vel i rigis dagvianebu l argument iani diP erencial u r i gant ol eba () da misi diskr et u l i anal ogi () 0. dadgenil ia rxevad obis pir obebi ()-isTvis im SemTxvevaSi, roca 0 < liminf t!1 R t t? p(s) 1 e da limsup t!1 R t t? p(s)ds < 1 da () 0-isaTvis im SemTxvevaSi, roca liminf n!1 n?1 P i=n?k p i k k+1 k+1 da limsup n!1 n P i=n?k p i < 1.