A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions

DOI10.1007/s00013-014-0678-5zbMath1308.34029OpenAlexW1975956617MaRDI QIDQ461393

Christopher S. Goodrich

Publication date: 10 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0678-5

zbMATH Keywords

nonlinear boundary conditionpositive solutionfixed point indexnonlocal boundary value problem

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

Coercive nonlocal elements in fractional differential equations ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Existence of positive solutions for a singular semipositone differential system with nonlocal boundary conditions ⋮ A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems

Cites Work

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• Positive solutions to boundary value problems with nonlinear boundary conditions
• Existence of multiple positive solutions for a nonlocal boundary value problem.
• On nonlinear boundary conditions satisfying certain asymptotic behavior
• Semi-positone nonlocal boundary value problems of arbitrary order
• Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations
• Positive solutions for third order semipositone boundary value problems
• Non-negative solutions of systems of ODEs with coupled boundary conditions
• Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions
• Existence and localization of positive solutions for a nonlocal BVP arising in chemical reactor theory
• Positive solutions of a second-order integral boundary value problem
• Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions
• Positive solutions to a system of second-order nonlocal boundary value problems
• On semipositone discrete fractional boundary value problems with non-local boundary conditions
• On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Existence results for superlinear semipositone BVP’s
• On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
• Differential equations with general boundary conditions

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