Let T be a time scale which is unbounded above and below and such that 0 is an element of T. Let id-r : T -> T be such that (id-r) (T) is a time scale. We use the contraction mapping theorem to obtain stability results about the zero solution for the following neutral nonlinear dynamic equations with unbounded delay x(Delta) (t) = -a (t) x(sigma) (t) + b (t) G (x(2) (t), x(2) (t - r (t))) + c (t) x(2)(Delta) over tilde (t - r (t)), t is an element of T, and x(Delta) (t) = -a (t) x(sigma) (t) + b (t) G (x (t), x (t - r (t))) + c (t) x (Delta) over tilde (t - r (t)), t is an element of T, where f(Delta) is the Delta-derivative on T and f((Delta) over tilde) is the Delta-derivative on (id-r) (T). We provide interesting examples to illustrate our claims.
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