International Journal of Mathematics and Mathematical Sciences (Jan 2004)
Oscillation properties of nonlinear neutral differential equations of nth order
Abstract
We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.