Gorni, Gianluca; Zampieri, Gaetano Nonlocal variational constants of motion in dissipative dynamics. (English) Zbl 1438.70010 Differ. Integral Equ. 30, No. 7-8, 631-640 (2017). Summary: 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. Cited in 1 ReviewCited in 7 Documents MSC: 70H03 Lagrange’s equations Keywords:nonlocal constants of motion; global existence; asymptotic estimate; perturbed motion × Cite Format Result Cite Review PDF