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PGSVP
Course: Variation methods
Department/Abbreviation: SLO/PGSVP
Year: 2020
Guarantee: 'RNDr. Antonín Lukš, CSc.'
Annotation: The lecture is oriented to the classical calculus of variations with its logically necessary and sufficient conditions for an extreme of a functional.
Course review:
- The simplest problem of variational approach.
- Euler equation.
- Classification of extrems.
- Generalization of the simplest problem.
- Allowed curves with free end-points.
- Conditional extrem.
- Variational problem in parametric formulation.
- Sufficient conditions of a strong and week extrem.
- Direct methods of solution of variational problems.