Existence of positive solutions for operator equations and applications to semipositone problems

DOI10.1007/s11117-005-0030-1zbMath1112.34037OpenAlexW2092933505MaRDI QIDQ2499040

Donal O'Regan, Xian Xu

Publication date: 14 August 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0030-1

zbMATH Keywords

positive solutionfixed-point indexSemipositone problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Nonlinear differential equations in abstract spaces (34G20)

Related Items (5)

Positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions ⋮ Structure of positive solution sets of sub-linear semi-positone operator equations ⋮ Unbounded connected component of the positive solution set of nonlinear operator equation and its applications ⋮ Structure of positive solution sets of semi-positone singular boundary value problems ⋮ A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems

Cites Work

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• Positive solutions to second-order boundary value problems with sign-changing nonlinear terms
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• Discrete semipositone higher-order equations
• Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems
• Non-negative solutions for a class of non-positone problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Existence results for superlinear semipositone BVP’s
• Existence results for semipositone boundary value problems

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