The book by Bolza, in fact, became so popular that the fixed-endpoint problem we stated became known as the article no. 0162
Regularity of solutions in the fundamental problem of the classical calculus of variations
β Scribed by F. Zh. Sadyrbaev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 259 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Under general growth assumptions, that include some cases of linear growth, we prove existence of Lipschitzian solutions to the problem of minimizing b a L(x(s), x (s)) ds with the boundary conditions x(a) = A, x(b) = B. ο 2003 Γditions scientifiques et mΓ©dicales Elsevier SAS MSC: 49N60; 49J65 Keywo
## 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