Global bifurcation of a class of periodic boundary-value problems

DOI10.1016/J.NA.2009.04.008zbMath1205.47069OpenAlexW1986010507MaRDI QIDQ732556

Stewart C. Welsh

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.008

zbMATH Keywords

Hilbert spaceA-proper mappingsglobal bifurcation pointperiodic boundary-value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Abstract bifurcation theory involving nonlinear operators (47J15)

Cites Work

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• Topological degree and A-proper operators
• A generalized-degree homotopy yielding global bifurcation results
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• Some global results for nonlinear eigenvalue problems
• Global results concerning bifurcation for Fredholm maps of index zero with a transversality condition
• Global bifurcation theory via Galerkin's method
• A Leray-Schauder Degree Calculation Leading to Non-Standard Global Bifurcation Results
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• A vector parameter global bifurcation result

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