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Calculus of variations and its applications

Mudde, M.H. (2015) Calculus of variations and its applications. Bachelor's Thesis, Mathematics.

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In this thesis, the calculus of variations is studied. We look at how optimization problems are solved using the Euler-Lagrange equation. Functions that satisfy this equation and the prescribed boundary conditions, must also satisfy Legendre's condition and there must be no conjugate points in the interval in order to be the minimizer. We generalize the Euler-Lagrange equation to higher dimensions and higher order derivatives to solve not only one-dimensional problems but also multi-dimensional problems. At last we investigate the canonical form of the Euler-Lagrange equation.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:09
Last Modified: 15 Feb 2018 08:09

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