Oscillations and Nonoscillations in Mixed DifferentialEquations with Monotonic Delays and Advances

摘要

In this work we study the oscillatory behavior of the delay differential equationof mixed type (t) = ∫~1 x (t — r(θ)) dv (θ) + ∫_(-1)~0x (t + τ(θ)) dη(θ). Some criteria are obtained in order to guarantee that all solutions are oscillatory.The existence of nonoscillatory solutions is also considered.