Solvability and Mann iterative approximations for a higher order nonlinear neutral delay differential equation

摘要

The purpose of this paper is to study solvability of the higher order nonlinear neutral delay differential equation d n d t n [ x ( t ) + c ( t ) x ( t − τ ) ] + ( − 1 ) n + 1 f ( t , x ( σ 1 ( t ) ) , x ( σ 2 ( t ) ) , … , x ( σ k ( t ) ) ) = g ( t ) , t ≥ t 0 ,