Higher-order variational problems of Herglotz type

We obtain a generalized Euler–Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of the new results are given.

Bibliographic Details
Main Author: Santos, S. P. S. (author)
Other Authors: Martins, N. (author), Torres, D. F. M. (author)
Format: article
Language:eng
Published: 2016
Subjects:
Euler–Lagrange differential equations
Generalized calculus of variations
Natural boundary conditions
Online Access:http://hdl.handle.net/10773/16215
Country:Portugal
Oai:oai:ria.ua.pt:10773/16215
Description
Summary:We obtain a generalized Euler–Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of the new results are given.

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