Time scale differential, integral, and variational embeddings of Lagrangian systems
type: Item
instance of: scholarly article
title: Time scale differential, integral, and variational embeddings of Lagrangian systems
zbMATH Open document ID: 1268.49030
author: Jacky Cresson
author: Agnieszka B. Malinowska
author: Delfim F. M. Torres
publication date: 2013-07-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1203.0264
Mathematics Subject Classification ID: 49K21
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 26E70
zbMATH DE Number: 6191555
zbMATH Keywords: coherence
zbMATH Keywords: embedding
zbMATH Keywords: least-action principle
zbMATH Keywords: discrete calculus of variations
zbMATH Keywords: difference Euler
zbMATH Keywords: Lagrange equations
MaRDI profile type: Publication
OpenAlex ID: W2100817956
Wikidata QID: Q57650964
arXiv ID: 1203.0264
cites work: Q5528072
cites work: On stochastic differential equations
cites work: Stochastic embedding of dynamical systems
cites work: Fractional embedding of differential operators and Lagrangian systems
cites work: Non-differentiable embedding of Lagrangian systems and partial differential equations
cites work: Variational integrator for fractional Euler-Lagrange equations
cites work: Inequalities on time scales: a survey
cites work: The calculus of variations
cites work: Q4167627
cites work: Discrete mechanics and variational integrators
cites work: Geometric Numerical Integration
cites work: Noether's theorem on time scales
cites work: Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
cites work: Generalizing the variational theory on time scales to include the delta indefinite integral
cites work: Q4672815
cites work: Optimality conditions for the calculus of variations with higher-order delta derivatives
DOI: 10.1016/J.CAMWA.2012.03.003
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 6191555