Extremal Solutions for Nonlinear First-Order Impulsive Integro-Differential Dynamic Equations

This paper is concerned with the initial-value problem for nonlinear first-order impulsive integro-differential equations on time scales $\mathbb{T}$. We establish certain existence criteria by using a fixed-point theorem for operator on cones, under which such problems have a minimal and a maximal solution lying in a corresponding region bounded by their lower and upper solutions.