Author:
Percivale Danilo,Mainini Edoardo
Abstract
AbstractWe show that the solution of Cauchy problem for the classical ODE $m \mathbf {y}''=\mathbf {f}$
m
y
″
=
f
can be obtained as the 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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