Differential Equations with Several Deviating Arguments: Sturmian Comparison Method in Oscillation Theory, II

Abstract

We study the oscillation of solutions to the differential equation ẋ(t) + α1(t)x[r(t)] + α2(t)x[p(t)] = 0, t ≥ t0 which has a retarded argument r(t) and an advanced argument p(t). We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results.