Erratum to: "Stability for first-order delay dynamic equations on time scales" [Comput. Math. Appl 53 (2007) 1820-1831]

In [1], the authors study the stability of the delay dynamic equation x (t)+ p (t) x (t − τ (t)) = 0 for all t ∈ T, (1) where T (i.e., a nonempty subset of reals) is a time scale and p ∈ Crd ( T,R ) . The statements of their theorems and representations include some mistakes as follows: τ : T → (0, r] and t ∈ T with t − τ (t) ≥ minT, which implies t − τ (t) ∈ T. The forward jump operator σ (t) := inf {s > t : s ∈ T} and the graininess function μ (t) := σ (t)− t.