Bemerkungen zur Brachistochrone. (Remarks on the brachistochrone problem) (Q1071246)
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: Bemerkungen zur Brachistochrone. (Remarks on the brachistochrone problem) |
scientific article; zbMATH DE number 3937903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bemerkungen zur Brachistochrone. (Remarks on the brachistochrone problem) |
scientific article; zbMATH DE number 3937903 |
Statements
Bemerkungen zur Brachistochrone. (Remarks on the brachistochrone problem) (English)
0 references
1984
0 references
The author reduces the classical brachistochrone problem, which was first solved by John Bernoulli in 1696, to an equivalent convex optimization problem by means of a simple transformation and proves that the Euler- Lagrange equation is a necessary and sufficient condition for the solution.
0 references
brachistochrone problem
0 references
convex optimization problem
0 references
Euler-Lagrange equation
0 references
0 references
0.85592544
0 references
