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In the paper, we elaborate new technique for the investigation of the asymptotic properties for third order differential equations with positive and negative term ( b(t) ( a(t)x′(t) )′)′ + p(t) f (x(τ(t)))− q(t)h(x(σ(t))) = 0. We offer new easily verifiable criteria for property A. We support our results with illustrative examples.

Property A of differential equations with positive and negative term