Cite this article as:
Amozova K. F., Starkov V. V. a-accessible Domains, a Nonsmooth Case. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 3, pp. 3-8. DOI: https://doi.org/10.18500/1816-9791-2013-13-3-3-8
a-accessible Domains, a Nonsmooth Case
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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