Generalized Non-Standard Lagrangians
AUG 21, 2019
Abstract: A generalized Lagrange formalism is developed for Ordinary Differential Equations (ODE) with the special function solutions1. The formalism is based on non-standard Lagrangians, which represent a novel family of Lagrangians. It is shown that the Euler-Lagrange equation needs to be supplemented with an auxiliary condition to retrieve the original equation - this is a new phenomenon in the calculus of variations.
1. G.M. Murphy, Ordinary Differential Equations and Their Solutions, New York: Dover Publication, Inc., 2011.
Author Credentials:
Niyousha Davachi and Zdzislaw E. Musielak
Department of Physics, The University of Texas at Arlington, Arlington, TX, 76019
