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. PicardLindelöf general statement of the theorem. Intuition behind Cauchy sequences. Intuition behind Cauchy sequences of functions, pointwise convergence and uniform convergence. Complete proof of the PicardLindelöf theorem. Optimization intuition. First and second variation of a functional. The EulerLagrange equation derivation and intuition. Special cases of the EulerLagrange differential equation. The brachistochrone problem. The Hamiltonian. Integral, nonintegral constraints and variable endpoint problems.
References
Bibliografia: pp. 107108.
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 (L18) 
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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