Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/4136
Title: Isoperimetric problems on time scales with nabla derivatives
Author: Almeida, R.
Torres, D.F.M.
Keywords: Control
Isoperimetric problems
Nabla derivatives
Time scales.
Issue Date: 2009
Publisher: SAGE Publications
Abstract: We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of Caputo (2008), that put together seemingly dissimilar optimal control problems in economics and physics, are extended to a generic time scale. We end with an illustrative example of the application of our main result to a dynamic optimization problem from economics. © 2009 SAGE Publications.
Peer review: yes
URI: http://hdl.handle.net/10773/4136
ISSN: 1077-5463
Appears in Collections:DMat - Artigos

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