Structure of positive solution sets of sub-linear semi-positone operator equations

DOI10.1007/s11117-011-0131-yzbMath1270.47049OpenAlexW1968008482MaRDI QIDQ1928260

Xian Xu, Donal O'Regan

Publication date: 2 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0131-y

zbMATH Keywords

eigenvalueboundary value problemglobal bifurcation theoriesstructure of positive solutions setsub-linear operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Unbounded connected component of the positive solutions set of some semi-positone problems
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• Nonpositone discrete boundary value problems
• Discrete semipositone higher-order equations
• Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems
• Positive solutions for singular semi-positone boundary value problems
• Positive solutions for semipositone \(m\)-point boundary value problems
• Existence of positive solutions for operator equations and applications to semipositone problems
• Non-negative solutions for a class of non-positone problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Existence results for superlinear semipositone BVP’s
• Existence results for semipositone boundary value problems

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