Implicit operator theorems under group symmetry conditions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 31-43
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On the base of the general theorem about the inheritance of nonlinear problem group symmetry by the relevant branching equation and branching equation in the root-subspace $G$-invariant implicit operator theorems are proved for stationary and nonstationary bifurcation problems without assumtion on compactness of allowing group.
Keywords:
Lyapounov–Schmidt method, branching equation, branching equation in the root-subspaces, group symmetry.
@article{IIGUM_2011_4_1_a3,
author = {B. V. Loginov and I. V. Konopleva and Y. B. Rousak},
title = {Implicit operator theorems under group symmetry conditions},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {31--43},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a3/}
}
TY - JOUR AU - B. V. Loginov AU - I. V. Konopleva AU - Y. B. Rousak TI - Implicit operator theorems under group symmetry conditions JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2011 SP - 31 EP - 43 VL - 4 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a3/ LA - ru ID - IIGUM_2011_4_1_a3 ER -
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B. V. Loginov; I. V. Konopleva; Y. B. Rousak. Implicit operator theorems under group symmetry conditions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 31-43. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a3/