OSCILLATION OF UNFORCED IMPULSIVE NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF FIRST ORDER

Abstract

In this work, we study the oscillatory behavior of solutions of a class of first order impulsive neutral delay differential equations of the form (y(t)− p(t)y(t− τ)) + q(t)G(y(t− σ)) = 0, t 6= tk, t ≥ t0 ∆y(tk) = y(t + k )− y(tk) = bky(tk), k = 1, 2, 3, · · · ∆y(tk − τ) = y(t + k − τ)− y(tk − τ) = bky(tk − τ), k = 1, 2, 3, · · · for all p(t) with |p(t)| < ∞. AMS Subject Classification: 34K