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

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: View the MathML sourcexΔ(t)=f(t,x,∫0tk(t,s)x(s)Δs),t∈[0,a], x(0)=x(σ(a)).x(0)=x(σ(a)).