Published Paper

Inserted: 4 may 2023

Journal: Adv. Cont. Discr. Mod.
Volume: 2023
Year: 2023
Doi: 10.1186/s13662-023-03766-4

Abstract:

We show that the solution of the Cauchy problem for the classical ode $my″=f$ can be obtained as limit of minimizers of exponentially weighted convex variational integrals. This complements the known results about weighted inertia-energy approach to Lagrangian mechanics and hyperbolic equations.