Generic properties of multifunctions: application to differential inclusions

DOI10.1016/j.na.2010.12.012zbMath1217.34027OpenAlexW2040387729MaRDI QIDQ631736

Juan-Miguel Gracia

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.12.012

zbMATH Keywords

differential inclusionsrelaxationBaire categoryKamke function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)

Related Items

Discrete approximations and optimization of evolution inclusions ⋮ Relaxation results for nonlinear evolution inclusions with one-sided Perron right-hand side ⋮ One-sided Perron differential inclusions

Cites Work

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• Extensions of Clarke's proximal characterization for reachable mappings of differential inclusions
• On the fundamental theory of multivalued differential equations
• The stability of solutions for differential inclusions and differential equations in the sense of Baire category theory
• Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces
• The generic property of existence of solutions of differential equations in Banach space
• A Bogolyubov-Type Theorem with a Nonconvex Constraint in Banach Spaces
• Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
• Numerical Analysis and Its Applications
• Set-valued analysis

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