Studies on Neumann-type boundary value problems for second-order nonlinear pp-Laplacian-like functional differential equations

New sufficient conditions for the existence of at least one solution of Neumann-type boundary value problems for the second-order nonlinear differential equations {(p(t)ϕ(x′(t)))′=f(t,x(t),x(τ1(t)),…,x(τm(t))),t∈[0,T],x′(0)=N,x′(T)=M, are established.