I. V. Konopleva, L. V. Mironova, “Bifurcating solutions stability for spectral by E. Schmidt nonlinear problems”, Trudy SVMO, 2008, Volume 10, Number 1,Pages <nobr>170

In Middle Volga Mathematical Society

Bifurcating solutions stability for spectral by E. Schmidt nonlinear problems

I. V. Konopleva^a, L. V. Mironova^b

^a Ulyanovsk State Technical University
^b Ul'yanovsk Military High School

Abstract: For general problem of stationary branching with E. Schmidt spectrum in linearization stability criteria of bifurcating solutions are obtained. The proof uses branching equation in the root-subspaces. Applications in electromagnetic oscillations in nonlinear medium are indicated

Keywords: bifurcation; stability; E. Schmidt spectrum; generalized Jordan sets; branching equation (BEq).

UDC: 517.948.67