Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients

الملخص EN

We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t)+p(t)f(y(τ(t)))](n)+q(t)h(y(σ(t)))=0, t≥t0, t∈R, where p∈C([t0,∞),R), limt→∞p(t)=0, q∈C([t0,∞),R+), τ(t), σ(t)∈C([t0,∞),R), τ(t), σ(t)

We obtain sufficient conditions for the oscillation of all solutions of this equation.