Tropicalization of an algebraic differential equation bounds the t-adic orders of its formal Hahn series solutions by the orders of elementary k-solutions to the tropical equation.
Annales scientifiques de l’ ´Ecole Normale Sup´ erieure, Serie 3, Volume 29 (1912), pp
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Elementary solutions of ordinary tropical differential equations, and vanishing orders of solutions of algebraic differential equations
Tropicalization of an algebraic differential equation bounds the t-adic orders of its formal Hahn series solutions by the orders of elementary k-solutions to the tropical equation.