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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

H. D. Tuan
H. D. Tuan
Affiliation:
Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi, Vietnam.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 3 , January 1996 , pp. 354 - 391
Copyright
Copyright © Australian Mathematical Society 1996

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