Natural Boundary Conditions in the Calculus of Variations
arXiv:0812.0705 · doi:10.1002/mma.1289
Abstract
We prove necessary optimality conditions for problems of the calculus of variations on time scales with a Lagrangian depending on the free end-point.
arXiv comment14 pages
References in corpus (4)
Cited by in corpus (10)
- Discrete-Time Fractional Variational Problems
- The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
- Fractional calculus of variations for a combined Caputo derivative
- Transversality Conditions for Infinite Horizon Variational Problems on Time Scales
- Generalized transversality conditions for the Hahn quantum variational calculus
- Fractional Euler-Lagrange differential equations via Caputo derivatives
- Optimality conditions for the calculus of variations with higher-order delta derivatives
- Euler-Lagrange equations for composition functionals in calculus of variations on time scales
- The Variational Calculus on Time Scales
- Delta-Nabla Optimal Control Problems