Another universal differential equation
Classical Analysis and ODEs
2007-05-23 v1
Authors:
Keith Briggs
Abstract
I construct a new universal differential equation (B), in the sense of Rubel. That is, its solutions approximate to arbitrary accuracy any continuous function on any interval of the real line.
Keywords
Cite
@article{arxiv.math/0211142,
title = {Another universal differential equation},
author = {Keith Briggs},
journal= {arXiv preprint arXiv:math/0211142},
year = {2007}
}
Related papers
View all related →
Classical Analysis and ODEs · Mathematics
Construction of a universal ordinary differential equation $C^{\infty}$ of order 3
Etienne Couturier, Nicolas Jacquet
2017-09-25
Classical Analysis and ODEs · Mathematics
Exact Solution of Abel Differential Equation with Arbitrary Nonlinear Coefficients
Ali Bakhshandeh Rostami
2015-03-23
Mathematical Physics · Physics
On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source
N. Gurappa, Pankaj K. Jha, Prasanta K. Panigrahi
2008-04-24
Classical Analysis and ODEs · Mathematics
On existence and approximation of solution of nonlinear Hilfer fractional differential equation
D. B. Dhaigude, Sandeep P. Bhairat
2017-09-29
Numerical Analysis · Mathematics
A unified explicit form for difference formulas for fractional and classical derivatives
W. A. Gunarathna, H. M. Nasir, W. B. Daundasekera
2021-05-28
General Mathematics · Mathematics
General Methods For Solving Ordinary Differential Equations 1
Daiyuan Zhang
2018-06-05
Numerical Analysis · Mathematics
An Exploration of the Approximation of Derivative Functions via Finite Differences
Brian Jain, Andrew D. Sheng
2010-06-09
Systems and Control · Electrical Eng. & Systems
Robust exact differentiators with predefined convergence time
Richard Seeber, Hernan Haimovich, Martin Horn, Leonid Fridman +1
2021-09-10
Classical Analysis and ODEs · Mathematics
New Exact Solutions of Differential Equations Derived by Fractional Calculus
F. S. Felber
2007-05-23
Probability · Mathematics
Universal approximation property of neural stochastic differential equations
Anna P. Kwossek, David J. Prömel, Josef Teichmann
2025-03-24
Classical Analysis and ODEs · Mathematics
A Universal Ordinary Differential Equation
Olivier Bournez, Amaury Pouly
2023-06-22
Classical Analysis and ODEs · Mathematics
Rectifiability and approximate differentiability of higher order for sets
Mario Santilli
2020-07-20
Classical Analysis and ODEs · Mathematics
Exact analytical approach to differential equations with variable coefficients
Mauro Bologna
2015-05-26
Classical Analysis and ODEs · Mathematics
A reformulation of an ordinary differential equation
Oscar A. Barraza
2013-02-12
Exactly Solvable and Integrable Systems · Physics
Nonlinear differential equations with exact solutions
N. A. Kudryashov
2007-05-23
Complex Variables · Mathematics
Dirichlet approximation and universal Dirichlet series
Richard Aron, Frédéric Bayart, Paul Gauthier, Manuel Maestre +1
2016-08-24
Optimization and Control · Mathematics
Iterative Schemes for Uniformly Nonconvex Equilibrium Problems
Oday Hazaimah
2025-02-11
Numerical Analysis · Mathematics
Approximate solution to abstract differential equations with variable domain
T. Ju. Bohonova, I. P. Gavrilyuk, V. L. Makarov, V. Vasylyk
2010-03-15
Numerical Analysis · Mathematics
A Note on the Direct Approximation of Derivatives in Rational Radial Basis Functions Partition of Unity Method
Vahid Mohammadi, Stefano De Marchi
2025-01-13
General Mathematics · Mathematics
High-Degree Polynomial Approximations for Solving Linear Integral, Integro-Differential, and Ordinary Differential Equations
Vladimir Kryzhniy
2026-01-23
History and Overview · Mathematics
Calculus: a limitless perspective
Michael P. Lamoureux, Matt Yedlin
2025-10-27
Mathematical Physics · Physics
Solving Linear Differential Equations: A Novel Approach
N. Gurappa, Abhijit Sen, Rajneesh Atre, Prasanta K. Panigrahi
2012-05-03
Machine Learning · Computer Science
A Universal Kernel for Learning Regular Languages
Leonid, Kontorovich
2007-12-07
Rings and Algebras · Mathematics
Solving polynomial differential equations by transforming them to linear functional-differential equations
John Michael Nahay
2008-10-18
Commutative Algebra · Mathematics
Effective bounds for the consistency of differential equations
Richard Gustavson, Omar León Sánchez
2017-11-13