On turning points

DOI10.1002/mma.1670050130zbMath0539.47049OpenAlexW2093432958MaRDI QIDQ3326313

Werner Stork

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050130

zbMATH Keywords

Lyapunov-Schmidt reductionbifurcation pointsolution curveclassical Morse theoryturning points for semilinear operators between separable Hilbert spaces

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (1)

Subharmonic response and synchronisation for the forced van der Pol equation via Cesari's method

Cites Work

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• A continuity property for adjoints of closed operators in Banach spaces, and its application to elliptic boundary value problems
• On a theorem by H. Shaw and P. J. McKenna concerning solution sets of some nonlinear boundary value problems
• On the local structure of the zero-set of a Banach space valued mapping
• On the structure of the set of solutions to some nonlinear boundary-value problems
• Functional analysis and Galerkin's method
• Some global results for nonlinear eigenvalue problems
• Qualitative methods in bifurcation theory
• A theory for imperfect bifurcation via singularity theory

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