Generalized Non-Standard Lagrangians | Zendy

Niyousha Davachi | Zendy; Z. E. Musielak | Zendy

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Generalized Non-Standard Lagrangians

Author(s) -

Niyousha Davachi,

Z. E. Musielak

Publication year - 2019

Publication title -

journal of undergraduate reports in physics

Language(s) - English

Resource type - Journals

ISSN - 2642-7451

DOI - 10.1063/1.5129244

Subject(s) - ode , formalism (music) , lagrangian , mathematics , ordinary differential equation , differential equation , euler's formula , bernoulli differential equation , calculus (dental) , mathematical analysis , algebra over a field , pure mathematics , exact differential equation , medicine , art , musical , dentistry , visual arts

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.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.

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