Monika Dryl, Delfim F. M. Torres
Published 2014-03-13Version 1
We prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given.
Comments: This is a preprint of a paper whose final and definite form is: Abstract and Applied Analysis 2014, Article ID 631281, http://dx.doi.org/10.1155/2014/631281
Differential, integral, and variational delta-embeddings of Lagrangian systems
A necessary condition for the guarantee of the superiorization method
The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving only Derivatives of Caputo
![QR code for arXiv:1403.3252 [math.OC]](http://oss.arxitics.com/images/favicon.svg)