Stationary bifurcation problems with E. Schmidt spectrum in linearization under group symmetry conditions.
B. V. Loginov; I. V. Konopleva; L. V. Mironova1
| Annotation | With the aim of applications in electromagnetic oscillations theory $G$-invariant implicit operator theorem and theorem about reduction of variational type branching equations and branching equations in the root-subspaces on the number of equations are proved for bifurcational problems with E.Schmidt spectrum in the linearization. Terminilogy and designations of the works \cite{VainTren1}-\cite{Sidor4} are used. |
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| Keywords | Stationary bifurcation problems, E. Schmidt spectrum, group symmetry, $G$-invariant implicit operator theorem, variational type branching equations and branching equations in the root-subspaces. |
1Proffesor, Ulyanovsk State Technical University, Ulyanovsk; loginov@ulstu.ru
2Docent, Ulyanovsk State Technical University, Ulyanovsk; i.konopleva@ulstu.ru
3Assistent,Ulyanovsk Higher Civil Aviation School, Ulyanovsk; i.konopleva@ulstu.ru
Citation: B. V. Loginov; I. V. Konopleva; L. V. Mironova, "[Stationary bifurcation problems with E. Schmidt spectrum in linearization under group symmetry conditions.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:3 (2011) 15–30 (In Russian)
