Third order problems with nonlocal conditions of integral type

DOI10.1186/S13661-014-0137-ZzbMath1309.34020OpenAlexW2139021284WikidataQ59320926 ScholiaQ59320926MaRDI QIDQ481572

Zehour Benbouziane, Nawal Al-Malki, Abdelkader Boucherif, Sidi Mohammed Bouguima

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0137-z

zbMATH Keywords

lower and upper solutionsfixed point theoremsiterative techniqueintegral boundary conditionsa priori bound on solutionsthird order differential equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition

Cites Work

• Third order differential equations with integral boundary conditions
• Existence result for some third order separated boundary value problems.
• Nonlinear three-point third-order boundary value problems
• On some third order nonlinear boundary value problems: Existence, location and multiplicity results
• Existence of solutions for a third order differential equation with integral boundary conditions
• Upper and lower functions in boundary value problems for a third-order ordinary differential equation
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