The fundamental theorem of tropical partial differential algebraic geometry

摘要: Tropical Differential Algebraic Geometry considers difficult or even intractable problems in Equations and tries to extract information on their solutions from a restricted structure of the input. The Fundamental Theorem states that support systems ordinary differential equations with formal power series coefficients over an uncountable algebraically closed field characteristic zero can be obtained by solving so-called tropicalized system. Tropicalized work completely different algebraic which may help theoretical computational questions. We show extended case partial introducing vertex sets Newton polytopes.