This article is cited in 3 papers

Necessary optimality conditions for abnormal problems with geometric constraints

A. V. Arutyunov^a, D. Yu. Karamzin<sup>b

a</sup> Department of Differential Equations, Russian University of Peoples' Friendship, ul. Miklukho-Maklaya 6, Moscow, 119198, Russia
^b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: The abnormal minimization problem with a finite-dimensional image and geometric constraints is examined. In particular, inequality constraints are included. Second-order necessary conditions for this problem are established that strengthen previously known results.

Key words: abnormal problems, second-order necessary conditions, geometric constraints, index of a quadratic form.

UDC: 519.626.2

Received: 06.10.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:3, 349–360

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