Higher-Order Variational Problems of Herglotz Type

2013/09/25 by Simao P. S. Santos, Simão P. S. Santos, Natália Martins +2 · 3 citations
Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #Differential equation #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Partial differential equation #Transversality #Type (biology) #Variational analysis #Variational method #math.OC #msc:34H05 #msc:49K15

paper · pdf · doi:10.1007/s10013-013-0048-9

published as Vietnam J. Math. 42 (2014), no. 4, 409--419 · 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

arxiv created 2013/09/25 · openalex publication_date 2013/11/04 · arxiv updated 2014/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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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