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Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 1, Pages 31–43 (Mi iigum92)  
Implicit operator theorems under group symmetry conditions

B. V. Loginova, I. V. Konoplevaa, Y. B. Rousakb

a Ulyanovsk State Technical University, 32, Severny Venetz St., Ulyanovsk, 432027, Ulyanovsk
b FAHCSIA, Canberra, Australia
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Abstract: 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.
Document Type: Article
UDC: 517.988.67
Language: Russian
Citation: B. V. Loginov, I. V. Konopleva, Y. B. Rousak, “Implicit operator theorems under group symmetry conditions”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011), 31–43
Citation in format AMSBIB
\Bibitem{LogKonRus11}
\by B.~V.~Loginov, I.~V.~Konopleva, Y.~B.~Rousak
\paper Implicit operator theorems under group symmetry conditions
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 1
\pages 31--43
\mathnet{http://mi.mathnet.ru/iigum92}
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