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- W3005470334 abstract "This paper consists of a brief review and introduction to the main concepts of Classic Variational Calculus. Starting from thedefinitions of the concepts of first and second variation of a functional, we present a mathematically rigorous treatment for theVariational Calculus, establishing necessary and sufficient conditions for obtaining extrema. In this context, the notion of conjugatepoints is introduced, which is fundamental for the classification of weak extrema. Some simple and enlightening examples are dealtwith throughout the paper. Strong extrema are characterized and sufficient conditions for their occurrence are given. The paperconcludes with a brief application to Lagrange mechanics, showing the existence of actions whose stationary points are saddlepoints instead of minima." @default.
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- W3005470334 date "2020-02-07" @default.
- W3005470334 modified "2023-10-16" @default.
- W3005470334 title "Cálculo variacional e aplicações" @default.
- W3005470334 doi "https://doi.org/10.5902/2179460x40596" @default.
- W3005470334 hasPublicationYear "2020" @default.
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