Differential and Integral Equations

Nonlocal variational constants of motion in dissipative dynamics

Gianluca Gorni and Gaetano Zampieri

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Abstract

We give a recipe to generate ``nonlocal'' constants of motion for ODE Lagrangian systems and we apply the method to find useful constants of motion which permit to prove global existence and estimates of solutions to dissipative mechanical systems, and to the Lane-Emden equation.

Article information

Source
Differential Integral Equations, Volume 30, Number 7/8 (2017), 631-640.

Dates
Accepted: June 2016
First available in Project Euclid: 4 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1493863397

Mathematical Reviews number (MathSciNet)
MR3646466

Zentralblatt MATH identifier
06738564

Subjects
Primary: 34C14: Symmetries, invariants 34C11: Growth, boundedness 70H03: Lagrange's equations

Citation

Gorni, Gianluca; Zampieri, Gaetano. Nonlocal variational constants of motion in dissipative dynamics. Differential Integral Equations 30 (2017), no. 7/8, 631--640. https://projecteuclid.org/euclid.die/1493863397


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