Construction of a universal ordinary differential equation C∞ of order 3
نویسندگان
چکیده
منابع مشابه
A Universal Ordinary Differential Equation
An astonishing fact was established by Lee A. Rubel in 81: there exists a fixed non-trivial fourthorder polynomial differential algebraic equation (DAE) such that for any positive continuous function φ on the reals, and for any positive continuous function (t), it has a C∞ solution with |y(t) − φ(t)| < (t) for all t. Lee A. Rubel provided an explicit example of such a polynomial DAE. Other exam...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2019
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2017.06.002