Existence and Relaxation Theorem for a Second Order Differential Inclusion

DOI10.1080/01630563.2010.510982zbMath1223.34018OpenAlexW2143632727MaRDI QIDQ3068647

Dalila Azzam-Laouir, Amira Makhlouf, Lionel Thibault

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.510982

zbMATH Keywords

differential inclusionselectionpseudo-Lipschitz propertyselection differential inclusion

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Ordinary differential inclusions (34A60) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Duality problems with second-order polyhedral discrete and differential inclusions ⋮ OPTIMAL CONTROL OF SEMILINEAR HIGHER-ORDER DIFFERENTIAL INCLUSIONS ⋮ Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators ⋮ Existence and relaxation for subdifferential inclusions with unbounded perturbation ⋮ Polyhedral optimization of second-order discrete and differential inclusions with delay ⋮ On duality in second-order discrete and differential inclusions with delay ⋮ Optimal control of higher order differential inclusions with functional constraints ⋮ Optimal control of second order delay-discrete and delay-differential inclusions with state constraints ⋮ Some topological properties of solution sets in a second order differential inclusion with \(m\)-point boundary conditions ⋮ Optimization of Mayer problem with Sturm-Liouville-type differential inclusions ⋮ Unnamed Item ⋮ Optimization of higher-order differential inclusions with special boundary value conditions ⋮ Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators

Cites Work

• Unnamed Item
• Convex analysis and measurable multifunctions
• A remark on a second-order three-point boundary value problem
• Nonconvex perturbations of second order maximal monotone differential inclusions
• Existence solutions for second-order differential inclusions with nonconvex perturbations
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

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