Periodic boundary value problems of integro-differential equation of Volterra type on time scales

In this paper, we prove a new comparison result and develop the monotone iterative technique to show the existence of extremal solutions of the following periodic boundary value problems (PBVP) of nonlinear integro-differential equation on time scales: xΔ(t)=f(t,x,∫0tk(t,s)x(s)Δs),t∈[0,a],x(0)=x(σ(a)).