Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Amozova K. F. a-accessible Domains, a Nonsmooth Case. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 3, pp. 3-8. DOI: 10.18500/1816-9791-2013-13-3-3-8

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a-accessible Domains, a Nonsmooth Case

Amozova Kira Fedorovna, Petrozavodsk State University, Russia

Petrozavodsk State University, Russia, 185910, Petrozavodsk, Lenin st., 33, amokira@rambler.ru, VstarV@list.ru This paper continues the study of a-accessible domains in Rn. They are starlike domains and satisfy cone condition which is important for applications. Conditions of ®-accessibility of domain, defined by the inequality F(x) < 0, is obtained for a continuous function F in Rn. Thus these conditions are written in the form of inequalities for the directional derivatives; necessary and sufficient conditions differ only in the sign of equality in these inequalities. We obtain new results even in the case where a = 0 (the case of starlike domains).

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