  In this note, we consider locally invertible analytic mappings in two
dimensions, with coefficients in a non-archimedean field. Suppose such a map
has a Jacobian with eigenvalues $\lambda_1$ and $\lambda_2$ so that
$|\lambda_1|>1$ and $\lambda_2$ is a positive power of $\lambda_1$, or that
$\lambda_1=1$ and $|\lambda_2|\neq 1$. We prove that two formal maps with
eigenvalues satisfying either of these conditions are analytically equivalent
if and only if they are formally equivalent.
