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On solution sets of nonconvex Darboux problems and applications to optimal control with endpoint constraints
Published online by Cambridge University Press: 17 February 2009
Abstract
We prove a continuous version of a relaxation theorem for the nonconvex Darboux problem xlt ε F(t, τ, x, xt, xτ). This result allows us to use Warga's open mapping theorem for deriving necessary conditions in the form of a maximum principle for optimization problems with endpoint constraints. Neither constraint qualification nor regularity assumption is supposed.
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- Copyright © Australian Mathematical Society 1996
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