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Abstract: We give the first known bound for orders of differentiations in differentialNullstellensatz for both partial and ordinary algebraic differential equations.This problem was previously addressed by A. Seidenberg but no complete solutionwas given. Our result is a complement to the corresponding result in algebraicgeometry, which gives a bound on degrees of polynomial coefficients ineffective Nullstellensatz.



Author: Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov, Agnes Szanto

Source: https://arxiv.org/







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