Autonomous first order differential equations
نویسندگان
چکیده
The problem of algebraic dependence solutions to (non-linear) first order autonomous equations over an algebraically closed field characteristic zero is given a âcompleteâ answer, obtained independently model theoretic results on differentially fields. Instead, the geometry curves and generalized Jacobians provides key ingredient. Classification formal are treated. applied answer question $D^n$-finiteness differential equations.
منابع مشابه
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8515