Bounded solutions to a three-point fourth-order iterative boundary value problem

DOI10.1216/rmj.2022.52.793zbMath1502.34075OpenAlexW4283077456MaRDI QIDQ2153768

Ahlème Bouakkaz

Publication date: 13 July 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-3/Bounded-solutions-to-a-three-point-fourth-order-iterative-boundary/10.1216/rmj.2022.52.793.full

zbMATH Keywords

Green's functionsfixed point theorembounded solutionscontinuous dependence on solutionsiterative boundary value problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Boundary value problems for functional-differential equations (34K10)

Related Items (4)

Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson's blowflies equation ⋮ On periodic solutions of a recruitment model with iterative terms and a nonlinear harvesting ⋮ Positive periodic solutions of a leukopoiesis model with iterative terms ⋮ Unnamed Item

Cites Work

• Existence of positive solutions for singular fourth-order three-point boundary value problems
• Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions
• Periodic solutions of a class of third-order functional differential equations with iterative source terms
• Positive periodic solutions for revisited Nicholson's blowflies equation with iterative harvesting term
• Periodic solutions of an iterative functional differential equation with variable coefficients
• Positive periodic solutions for a class of second-order differential equations with state-dependent delays
• A unique solution to a fourth-order three-point boundary value problem
• Periodic solutions of a class of third-order differential equations with two delays depending on time and state
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