Nagumo type existence results for second-order nonlinear dynamic BVPS

In this paper, we present a Nagumo condition for time scales equations that includes as a particular case a type of the classical one for differential equations involving a certain restriction. The established Nagumo condition further allows us to prove the existence of at least one solution lying between a pair of lower and upper solutions of a nonlinear second-order dynamic equation with nonlinear functional boundary value conditions.