On nonlocal BVPs with nonlinear boundary conditions with asymptotically sublinear or superlinear growth

DOI10.1002/mana.201100210zbMath1252.34032OpenAlexW2084991743MaRDI QIDQ2909657

Christopher S. Goodrich

Publication date: 6 September 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100210

zbMATH Keywords

eigenvaluenonlinear boundary conditionpositive solutionnonlocal boundary conditionsecond-order boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) 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) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Cites Work

• Unnamed Item
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• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Existence of a positive solution to a system of discrete fractional boundary value problems
• Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale
• Positive solutions to boundary value problems with nonlinear boundary conditions
• Existence of a positive solution to systems of differential equations of fractional order
• The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale
• Fourth-order problems with fully nonlinear boundary conditions
• Positive solutions of nonlocal boundary value problems involving integral conditions
• Positive solutions of some nonlinear BVPs involving singularities and integrals BCS
• Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations
• Third order boundary value problems with nonlocal boundary conditions
• Nonlocal conjugate type boundary value problems of higher order
• Remarks on a non-local boundary value problem
• Upper and lower solution methods for fully nonlinear boundary value problems
• Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
• Positive solutions of a second-order integral boundary value problem
• Existence and nonexistence results for positive solutions of an integral boundary value problem
• Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations
• Positive solutions to a system of second-order nonlocal boundary value problems
• Solutions of nonlinear equations in cones and positive linear operators
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
• Non-local boundary value problems of arbitrary order
• POSITIVE SOLUTIONS OF HIGHER-ORDER BOUNDARY-VALUE PROBLEMS