Oscillation of functional trinomial differential equations with positive and negative term

In the paper, we establish new technique for investigation of properties of trinomial 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.(b(t)(a(t)x′(t))′)′+p(t)f(x(τ(t)))−q(t)h(x(σ(t)))=0.We offer new criteria for asymptotic properties of nonoscillatory solutions for the studied equations. We support our results with illustrative examples.