Generalized Euler-Lagrange equations for variational problems with scale derivatives

Physics – Mathematical Physics

Scientific paper

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Submitted on 03-Aug-2009; accepted for publication 16-March-2010; in "Letters in Mathematical Physics".

Scientific paper

10.1007/s11005-010-0385-5

We obtain several Euler-Lagrange equations for variational functionals
defined on a set of H\"older curves. The cases when the Lagrangian contains
multiple scale derivatives, depends on a parameter, or contains higher-order
scale derivatives are considered.

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