Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems (Q1090834)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems |
scientific article; zbMATH DE number 4008877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems |
scientific article; zbMATH DE number 4008877 |
Statements
Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems (English)
0 references
1986
0 references
Systems of autonomous differential equations are considered on the m dimensional torus with continuous right-hand side and uniqueness. A theorem is proved stating that under a generalized Lipschitz condition on the right-hand side any continuous function which is continuously differentiable along solutions of the system can be uniformly approximated in the \(C^ 1\) norm by continuously differentiable functions.
0 references
autonomous differential equations
0 references
Lipschitz condition
0 references
