Lower semi-continuity of the solution set for semilinear differential inclusions

DOI10.1016/j.jmaa.2011.07.015zbMath1239.34071OpenAlexW2090389138MaRDI QIDQ641649

Ovidiu Cârjǎ, Alina I. Lazu

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.015

zbMATH Keywords

differential inclusionlower semicontinuitysolution setviabilityminimum time functioncontinuous dependencesemi-linear

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (3)

Nonlinear evolution inclusions with one-sided Perron right-hand side ⋮ One-sided Perron differential inclusions ⋮ Generalized Solutions of Semilinear Evolution Inclusions

Cites Work

• Lyapunov pairs for multi-valued semi-linear evolutions
• Properties of integral solutions of differential inclusions with m- accretive operators
• A priori estimates for operational differential inclusions
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• On the solution set of differential inclusions in Banach space
• Convex analysis and measurable multifunctions
• Topological structure of solution sets of differential inclusions: the constrained case
• The Minimal Time Function in Infinite Dimensions
• Necessary and sufficient conditions for viability for semilinear differential inclusions
• Some remarks on comparison functions
• Some Characterizations of Optimal Trajectories in Control Theory
• Proximal Analysis and the Minimal Time Function
• On the Bellman Equation for the Minimum Time Problem in Infinite Dimensions
• Differential equations with discontinuous right-hand side
• Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side
• On topologies for function spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lower semi-continuity of the solution set for semilinear differential inclusions