This paper is concerned with oscillatory behavior of linear functional differential equations of the type y(n)(t) = p(t)y(τ (t)) with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of (0,∞). Our attention is oriented to the Euler type of equation, i.e. when p(t) ∼ a/tn.
In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations y (n)(t) = p(t)y(τ (t)) with mixed deviating arguments, i.e. when both delayed and advanced parts of τ (t) are significant. The presented results essentially improve existing ones.
In the paper, we study oscillation of the half-linear second order delay differential equations of the form [formula]. We introduce new monotonic properties of its nonoscillatory solutions and use them for linearization of considered equation which leads to new oscillatory criteria. The presented results essentially improve existing ones.
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