Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
Published 2013-09-25Version 1
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.
Comments: This is a preprint of a paper whose final and definite form will appear in Vietnam Journal of Mathematics, ISSN: 2305-221X (Print) 2305-2228 (Online). Paper submitted 13-June-2013; revised 11-Sept-2013; accepted for publication 24-Sept-2013
Noether's theorem for higher-order variational problems of Herglotz type
Higher-order variational problems of Herglotz type with time delay
Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
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