Pseudo-Jacobians and a necessary condition in dynamic optimization

Authors: Crespi Giovanni Paolo, N. B. Minh, Đinh Thế Lục,

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Publisher, magazine: ,

Publication year: 2008

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Abstract

We develop some properties of pseudo-Jacobians for continuous vector functions in a Banach space. Then we establish a necessary condition for some problems of the calculus of variations with nonsmooth data. Examples are given which show that the obtained optimality condition is sharper than the counterpart involving limiting subgradients.

Tags: continuous vector functions; pseudo-Jacobian; calculus of variations

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Pseudo-Jacobians and a necessary condition in dynamic optimization