## Communicated by G. F. Roach A numerical technique for determining the solution of the brachistochrone problem is presented. The brachistochrone problem is first formulated as a non-linear optimal control problem. Using Chebyshev nodes, we construct the Mth degree polynomial interpolation to ap
Multiple Solutions for a Classical Problem in the Calculus of Variations
โ Scribed by I. Ekeland; N. Ghoussoub; H. Tehrani
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 455 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
โฆ Synopsis
The book by Bolza, in fact, became so popular that the fixed-endpoint problem we stated became known as the article no. 0162
๐ SIMILAR VOLUMES
This paper has two main ideas. The first idea is that general constrained problems with delay in the calculus of variations can be associated with unconstrained calculus of variations problems by using multipliers. This allows us to obtain a true Lagrange multiplier rule where the original variables
## Communicated by H. Neunzert We prove existence, in a small time interval, of a classical solution having a regular free boundary, (i.e. the level set +u"0,) of a multidimensional filtration problem. The key point to get the regularity of the level set +u"0, is the proof of an a priori estimate