Nonlocal constants of motion in Lagrangian Dynamics of any order

We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechanical systems, from which we can deduce global existence and estimates of solutions under fairly general assumptions. Then...

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Bibliographic Details
Main Authors: Gianluca Gorni, Mattia Scomparin, Gaetano Zampieri
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000031