Branching equation in the root subspace

DOI10.1016/S0362-546X(97)00481-1zbMath0949.47051MaRDI QIDQ4264307

Boris Vladimirovich Loginov

Publication date: 11 May 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt reductiongroup invariancebranching equationroot subspace

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (4)

Differential equations with degenerate operators at the derivative depending on an unknown function ⋮ Unnamed Item ⋮ On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative ⋮ Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Group analysis methods for construction and investigation of the bifurcation equation
• The onset of auto-oscillations in a fluid
• Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode
• Generalized Jordan structure in the problem of the stability of bifurcating solutions
• THE USE OF GROUP PROPERTIES TO DETERMINE MULTI-PARAMETER FAMILIES OF SOLUTIONS OF NONLINEAR EQUATIONS
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