MULTIPLE POSITIVE SOLUTIONS OF RESONANT AND NON-RESONANT NON-LOCAL FOURTH-ORDER BOUNDARY VALUE PROBLEMS

DOI10.1017/S0017089511000590zbMath1250.34019OpenAlexW2169065982MaRDI QIDQ3116851

Mirosława Zima, Jeffrey R. L. Webb

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089511000590

zbMATH Keywords

conepositive solutionsresonance

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Applications of operator theory to differential and integral equations (47N20) 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 ⋮ Monotone iterative method for first-order differential equations at resonance ⋮ Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals ⋮ Existence results for a functional boundary value problem of fractional differential equations ⋮ New upper estimate for positive solutions to a second order boundary value problem with a parameter ⋮ The existence of solutions for four-point coupled boundary value problems of fractional differential equations at resonance ⋮ Positive solutions of second-order non-local boundary value problem with singularities in space variables ⋮ Existence results of positive solutions for boundary value problems of fractional differential equations

Cites Work

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• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
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• Solvability of three point boundary value problems at resonance

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