Global bifurcation in \(2m\)-order generic systems of nonlinear boundary value problems

DOI10.1155/2012/804619zbMath1260.34030OpenAlexW2069025677WikidataQ58696828 ScholiaQ58696828MaRDI QIDQ1938298

Guowei Dai, Xiaoling Han, Jia Xu

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/804619

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

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• The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension
• Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function
• Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function
• Multiparameter bifurcation problems and topological degree
• Existence of nodal solutions for Lidstone eigenvalue problems
• Generic properties of nonlinear boundary value problems
• Global bifurcation in generic systems of nonlinear Sturm-Liouville problems
• The structure of Rabinowitz' global bifurcating continua for generic quasilinear elliptic equations
• Eigenvalue problems for the equation \(Ly+\lambda p(x)y=0\)

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