arXiv Analytics

Sign in

arXiv:0801.2123 [math.OC]AbstractReferencesReviewsResources

Necessary and sufficient conditions for local Pareto optimality on time scales

Agnieszka B. Malinowska, Delfim F. M. Torres

Published 2008-01-14Version 1

We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a necessary optimality condition for the isoperimetric problem with multiple constraints on time scales.

Comments: 7 pages
Journal: Journal of Mathematical Sciences, Vol. 161, No. 6, 2009, 803--810
Categories: math.OC, math.CA
Subjects: 49K15, 90C29
Related articles: Most relevant | Search more
arXiv:0807.2596 [math.OC] (Published 2008-07-16)
Calculus of Variations on Time Scales with Nabla Derivatives
arXiv:0805.0278 [math.OC] (Published 2008-05-02, updated 2008-07-17)
Isoperimetric Problems of the Calculus of Variations on Time Scales
arXiv:1711.00448 [math.OC] (Published 2017-11-01)
Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface