Geodesic
Regular zeros of quadratic maps and their application
Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 783-806

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions for the existence of regular zeros of quadratic maps are obtained. Their applications are indicated to certain problems of analysis related to the inverse function theorem in a neighbourhood of an abnormal point. Bibliography: 13 titles.
Keywords: quadratic maps, regular zeros, inverse function theorem. 
@article{SM_2011_202_6_a0,
     author = {A. V. Arutyunov and D. Yu. Karamzin},
     title = {Regular zeros of quadratic maps and their application},
     journal = {Sbornik. Mathematics},
     pages = {783--806},
     publisher = {mathdoc},
     volume = {202},
     number = {6},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_6_a0/}
}
TY  - JOUR
AU  - A. V. Arutyunov
AU  - D. Yu. Karamzin
TI  - Regular zeros of quadratic maps and their application
JO  - Sbornik. Mathematics
PY  - 2011
SP  - 783
EP  - 806
VL  - 202
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2011_202_6_a0/
LA  - en
ID  - SM_2011_202_6_a0
ER  - 
%0 Journal Article
%A A. V. Arutyunov
%A D. Yu. Karamzin
%T Regular zeros of quadratic maps and their application
%J Sbornik. Mathematics
%D 2011
%P 783-806
%V 202
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2011_202_6_a0/
%G en
%F SM_2011_202_6_a0
A. V. Arutyunov; D. Yu. Karamzin. Regular zeros of quadratic maps and their application. Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 783-806. http://geodesic.mathdoc.fr/item/SM_2011_202_6_a0/