Isoperimetric problems on time scales with nabla derivatives

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dc.creatorAlmeida, Ricardo
dc.creatorTorres, Delfim F. M.
dc.date2008-11-21
dc.date.accessioned2026-07-07T13:16:39Z
dc.date.available2026-07-07T13:16:39Z
dc.descriptionWe 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 ostensibly disparate isoperimetric variational problems, Appl. Math. Lett. (2008), doi:10.1016/j.aml.2008.04.004], 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 application of our main result to a dynamic optimization problem from economics.
dc.descriptionThis is a preprint of an article whose final and definitive form will be published in the Journal of Vibration and Control. Date Accepted: November 21, 2008
dc.identifierhttps://arxiv.org/abs/0811.3650
dc.identifierhttp://arxiv.org/abs/0811.3650
dc.identifierJournal of Vibration and Control, Vol. 15 (2009), no. 6, 951-958
dc.identifierdoi:10.1177/1077546309103268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230859
dc.subjectOptimization and Control
dc.subject49K30; 39A12
dc.titleIsoperimetric problems on time scales with nabla derivatives
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