Time scale differential, integral, and variational embeddings of Lagrangian systems

DOI10.1016/J.CAMWA.2012.03.003zbMath1268.49030arXiv1203.0264OpenAlexW2100817956WikidataQ57650964 ScholiaQ57650964MaRDI QIDQ356151

Delfim F. M. Torres, Jacky Cresson, Agnieszka B. Malinowska

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0264

zbMATH Keywords

embeddingcoherenceLagrange equationsleast-action principledifference Eulerdiscrete calculus of variations

Mathematics Subject Classification ID

Optimality conditions for problems involving relations other than differential equations (49K21) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items (8)

Discrete calculus of variations for quadratic Lagrangians ⋮ Necessary condition for an Euler-Lagrange equation on time scales ⋮ Variational approach to second-order impulsive dynamic equations on time scales ⋮ Dynamics symmetries of Hamiltonian system on time scales ⋮ Multiscale functions, scale dynamics, and applications to partial differential equations ⋮ Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations ⋮ Hamilton-Jacobi method for mechanical systems on time scales ⋮ Helmholtz's inverse problem of the discrete calculus of variations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• Generalizing the variational theory on time scales to include the delta indefinite integral
• Non-differentiable embedding of Lagrangian systems and partial differential equations
• The calculus of variations
• Variational integrator for fractional Euler-Lagrange equations
• Noether's theorem on time scales
• Inequalities on Time Scales: A Survey
• Discrete mechanics and variational integrators
• Fractional embedding of differential operators and Lagrangian systems
• Stochastic embedding of dynamical systems
• Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
• Geometric Numerical Integration
• On stochastic differential equations

This page was built for publication: Time scale differential, integral, and variational embeddings of Lagrangian systems