Gui, GaihuaXu, Zhiting2021-08-022021-08-022007-01-02Gui, G., & Xu, Z. (2007). Oscillation criteria for second-order neutral differential equations with distributed deviating arguments. <i>Electronic Journal of Differential Equations, 2007</i>(10), pp. 1-11.1072-6691https://hdl.handle.net/10877/14160Using a class of test functions Φ(t, s, T) defined by Sun [13] and a generalized Riccati technique, we establish some new oscillation criteria for the second-order neutral differential equation with distributed deviating argument. (r(t)ψ(x(t))Z′ (t))′ + ∫bα q(t, ξ) ƒ[x(g(t, ξ))]dσ(ξ) = 0, t ≥ t0, where Z(t) = x(t) + p(t)x(t - τ). The obtained results are different from most known ones and can be applied to many cases which are not covered by existing results.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalOscillationNeutral differential equationSecond orderDistributed deviating argumentRiccati techniqueOscillation criteria for second-order neutral differential equations with distributed deviating argumentsArticle