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math.OC2008★ 61 cited
Isoperimetric problems on time scales with nabla derivatives
Ricardo Almeida, Delfim F. M. Torres
We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of [M.R. Caputo, A unified view of oste…
math.OC2008★ 42 cited
The isoperimetric problem for Holderian curves
Ricardo Almeida, Delfim F. M. Torres
We prove a necessary stationary condition for non-differentiable isoperimetric variational problems with scale derivatives, defined on the class of Hölder continuous functions.