Anti-periodic solutions for a class of nonlinear th-order differential equations with delays

In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear n th-order differential equations with delays of the form x ( n ) ( t ) + f ( t , x ( n − 1 ) ( t ) ) + g ( t , x ( t − τ ( t ) ) ) = e ( t ) .