Generalized Jordan structure in the problem of the stability of bifurcating solutions

DOI10.1016/0362-546X(91)90049-7zbMath0739.34045OpenAlexW2039366535MaRDI QIDQ3980052

Yuriy Borisovich Rousak, Boris Vladimirovich Loginov

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90049-7

zbMATH Keywords

Banach spacestability of bifurcating stationary and periodic solutions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20)

Related Items

Differential equations with degenerate operators at the derivative depending on an unknown function, Branching equation in the root subspace, On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative, Stability of bifurcating solutions of equivariant equations, Unnamed Item, System of Laplace equations in a half-space with a free interface, capillary-gravitational waves, bifurcation, and symmetry, Implicit operator theorems under group symmetry conditions, The pseudoperturbation method in generalized eigenvalue problems, Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace, Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation

Cites Work

• On the principle of reduced stability
• Decomposition theorems for Fredholm operators
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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