A Note on Logarithmic Growth Newton Polygons of p-Adic Differential Equations

In this paper, we answer a question due to Y. André related to B. Dwork's conjecture on a specialization of the logarithmic growth of solutions of p-adic linear differential equations. Precisely speaking, we explicitly construct a ∇-module M over ${\BBQ}_p[\![X]\!]_0$ of rank 2 such that the left endpoint of the special log-growth Newton polygon of M is strictly above the left endpoint of the generic log-growth Newton polygon of M.