On the solvability of implicit differential inclusions

DOI10.1080/00036811.2014.891732zbMath1309.47069OpenAlexW2032824757MaRDI QIDQ5175333

Valeriano Antunes de Oliveira, Aram V. Arutyunov, Fernando Lobo Pereira, Evgeny S. Zhukovskiy, Sergey Zhukovskiy

Publication date: 20 February 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.891732

zbMATH Keywords

Lipschitz perturbationimplicit differential inclusionconditionally covering mapping

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Variational and other types of inclusions (47J22)

Related Items (9)

Ekeland’s Variational Principle for Functions Unbounded from below ⋮ Inclusions with mappings acting from a metric space to a space with distance ⋮ Coincidence points and generalized coincidence points of two set-valued mappings ⋮ On operator inclusions in spaces with vector-valued metrics ⋮ Multiple anti-periodic solutions of implicit differential inclusions on tori ⋮ On covering properties in variational analysis and optimization ⋮ Linear openness of the composition of set-valued maps and applications to variational systems ⋮ On coincidence points of multivalued vector mappings of metric spaces ⋮ On implicit differential inclusions generated by orderly covering mappings

Cites Work

• On the well-posedness of differential equations unsolved for the derivative
• Covering mappings and well-posedness of nonlinear Volterra equations
• Covering mappings and their applications to differential equations unsolved for the derivative
• Stability of coincidence points and properties of covering mappings
• Covering mappings in metric spaces and fixed points
• Locally covering maps in metric spaces and coincidence points
• Some mapping theorems
• Existence of local solutions in constrained dynamic systems

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