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Course: Variation methods

Department/Abbreviation: SLO/PGSVP

Year: 2021

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.