On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints

DOI10.1007/s10587-012-0002-0zbMath1249.34053OpenAlexW2082186232MaRDI QIDQ2897351

Adel Mahmoud Gomaa

Publication date: 10 July 2012

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

Full work available at URL: https://eudml.org/doc/247008

zbMATH Keywords

differential inclusiondifferential equationGreen functionmultipoint boundary value problembang-bang controls

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Relaxation problems involving second-order differential inclusions ⋮ Density of the extremal solutions for a class of second order boundary value problem

Cites Work

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• Convergence theorems for Banach space valued integrable multifunctions
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Convex analysis and measurable multifunctions
• A remark on a second-order three-point boundary value problem
• Boundary value problems for nonconvex differential inclusions
• Extremal solutions of classes of multivalued differential equations.
• Measurable selections of extrema
• Extensions and selections of maps with decomposable values
• An existence theorem for inclusions of the type and application to a multivalued boundary value problem
• ON THE SOLUTION SETS OF FOUR-POINT BOUNDARY VALUE PROBLEMS FOR NONCONVEX DIFFERENTIAL INCLUSIONS

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