𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Natural boundary conditions in the calculus of variations

✍ Scribed by Agnieszka B. Malinowska; Delfim F. M. Torres


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
171 KB
Volume
33
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


We prove necessary optimality conditions for problems of the calculus of variations on time scales with a Lagrangian depending on the free end-point.


πŸ“œ SIMILAR VOLUMES


On the imposition of essential boundary
✍ Cueto, E. ;CegoΓ±ino, J. ;Calvo, B. ;DoblarΓ©, M. πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 306 KB πŸ‘ 1 views

## Abstract In this paper issues related to the imposition of essential boundary conditions in Natural Neighbour Galerkin methods are addressed. Both Sibson and non‐Sibson interpolants ability to exactly reproduce essential boundary conditions is investigated and a new analytical condition ensuring

The Direct Method in the Calculus of Var
✍ David Jerison πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 435 KB

The purpose of this paper is to calculate the first variation of capacity and of the lowest eigenvalue for the Dirichlet problem in convex domains in R N . These formulas are well known in the smooth case and are due to Poincare and Hadamard, respectively. The point is to prove them in sufficient ge

Multiple Solutions for a Classical Probl
✍ I. Ekeland; N. Ghoussoub; H. Tehrani πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 455 KB

The book by Bolza, in fact, became so popular that the fixed-endpoint problem we stated became known as the article no. 0162