Lagrangian mechanics without ordinary differential equations
G. W. Patrick
TL;DR
This paper presents a variational approach to establish the existence and uniqueness of solutions in regular Lagrangian systems without relying on traditional ordinary differential equations.
Contribution
It introduces a novel variational proof method that bypasses the need for ODEs in analyzing Lagrangian system evolutions.
Findings
Proves existence of solutions variationally
Establishes uniqueness of evolutions
Provides a new framework for Lagrangian dynamics
Abstract
A variational proof is provided of the existence and uniqueness of evolutions of regular Lagrangian systems.
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