### C¹-Stably Positively Expansive Maps

The notion of C¹-stably positively expansive differentiable maps on closed ${C}^{\infty}$ manifolds is introduced, and it is proved that a differentiable map f is C¹-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the ε-time dependent stability is shown. As a result, every expanding map is ε-time dependent stable.