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On the Oscillation of Second-Order Neutral Delay Dynamic Equations

Volume 9, Number 1 (2010), 76 - 86

On the Oscillation of Second-Order Neutral Delay Dynamic Equations

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Abstract

In this paper, some new oscillation criteria are established for the second order neutral delay dynamic equations ³ r(t)zD(t) ´D +q(t) f (x(d(t))) = 0 on a time scales T; where ¥ R t0 1 r(t)Dt = ¥; z(t) = x(t)+ p(t)x(t(t)); 0 · p(t) · p0 < ¥; q(t) > 0: These oscillation criteria extend and improve some known results. Some examples are considered to illustrate the main results.