necessary condition for an euler-lagrange equation on time scales
;Monika Dryl;Delfim F. M. Torres
science and technology of advanced materials2014Vol. 2014pp. -
121
dryl2014abstractnecessary
Abstract
We prove a necessary condition for a dynamic integrodifferential 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.