Oscillation Tests for Delay Equations

New Oscillation Ciriteria of First Order Delay Differential Equations

“…(l.l) and (1.2) recpectivelly. Then our results improve the results of [13], [17] and [9], and simply for verification throughout examples than of the results in [7], [4], [14], [11] and [12],…”

“…(l.l) when the limit, t lim ( P(s)ds t-• 00 J t-T does not exist. How to fill this gap is an interesting problem which has been recently investigated by several authors (see [7], [4], [14], [11] and [12]). They have established some new finite sufficient conditions for oscillation of all solutions of Eq.…”

“…(l.l) which extended and improved the conditions (1.3) and (1.4). The techniques that are used in [7], [4], [14], [11] and [12] are not applied to Eq. (1.2) to fill the gap between (1.5) and (1.6).…”

Oscillation criteria for delay equations

“…In 1994 Koplatadze and Kvinikadze [14] improved (C 6 ), while in 1996 Philos and Sficas [24] and Jaroš and Stavroulakis [11] derived the conditions…”

Improved iterative oscillation tests for first-order deviating differential equations

“…How to fill this gap is an interesting problem which has attracted the attention of several authors. For example, in 2000, Jaroš and Stavroulakis [10] proved that, if 6) where λ 0 is the smaller root of the transcendental equation λ = e αλ , then all solutions of (E) oscillate. Now we come to the case considered in the present work, i.e., that the argument…”