Utilizing an integrating factor to convert a right focal boundary value problem to a fixed point problem

DOI10.7153/dea-2022-14-11zbMath1497.47123OpenAlexW4285234550WikidataQ115157891 ScholiaQ115157891MaRDI QIDQ5078845

Douglas R. Anderson, Richard I. Avery

Publication date: 25 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-11

zbMATH Keywords

fixed pointintegrating factorright focal boundary value problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

• Mann iteration process for monotone nonexpansive mappings
• On a fixed point theorem for the product of operators
• Generalizing the variational iteration method for BVPs: proper setting of the correction functional
• Three symmetric positive solutions for a second-order boundary value problem
• A new iterative scheme of modified Mann iteration in Banach space
• A novel fixed point iteration method for the solution of third order boundary value problems
• Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
• Remarks on two fixed-point theorems involving the sum and the product of two operators
• A dual of the compression-expansion fixed point theorems
• Some problems of nonlinear analysis
• Green’s Functions with Applications, Second Edition
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Periodicity in delay equations by direct fixed point mapping
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