Calculus of variations: Euler–Lagrange equation and Hamiltonian formulation
Denny, Alessio Francis (A.A. 2021/2022) Calculus of variations: Euler–Lagrange equation and Hamiltonian formulation. Tesi di Laurea in Mathematics, Luiss Guido Carli, relatore Giovanni Alessandro Zanco, pp. 109. [Bachelor's Degree Thesis]
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Abstract/Index
Background theory of differential equations. Picard-Lindelöf general statement of the theorem. Intuition behind Cauchy sequences. Intuition behind Cauchy sequences of functions, pointwise convergence and uniform convergence. Complete proof of the Picard-Lindelöf theorem. Optimization intuition. First and second variation of a functional. The Euler-Lagrange equation derivation and intuition. Special cases of the Euler-Lagrange differential equation. The brachistochrone problem. The Hamiltonian. Integral, non-integral constraints and variable end-point problems.
References
Bibliografia: pp. 107-108.
| Thesis Type: | Bachelor's Degree Thesis |
|---|---|
| Institution: | Luiss Guido Carli |
| Degree Program: | Bachelor's Degree Programs > Bachelor's Degree Program in Management and Computer Science, English language (L-18) |
| Chair: | Mathematics |
| Thesis Supervisor: | Zanco, Giovanni Alessandro |
| Academic Year: | 2021/2022 |
| Session: | Summer |
| Deposited by: | Alessandro Perfetti |
| Date Deposited: | 03 Nov 2022 15:34 |
| Last Modified: | 03 Nov 2022 15:34 |
| URI: | https://tesi.luiss.it/id/eprint/33771 |
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