Filippov lemma for measure differential inclusion

DOI10.1002/mana.201800457OpenAlexW3127821227WikidataQ124884699 ScholiaQ124884699MaRDI QIDQ6057879

Andrzej Fryszkowski, Jacek Józef Sadowski

Publication date: 5 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201800457

zbMATH Keywords

measure differential inclusionFilippov lemmaimpulse control systemsdifferentiation with respect to a measure

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Ordinary differential equations with impulses (34A37) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Ordinary differential inclusions (34A60) General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Modal analysis in linear vibration theory (70J10) Dynamical systems in control (37N35) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (2)

Viability and Filippov-type lemma for Stieltjes differential inclusions ⋮ Relaxation result for differential inclusions with Stieltjes derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measure differential inclusions -- between continuous and discrete
• Filippov-Ważewski theorems and structure of solution sets for first order impulsive semilinear functional differential inclusions
• Generalized nonlinear ordinary differential equations linear in measures
• Continuous version of Filippov-Wažewski relaxation theorem
• Integral inequalities in measure spaces
• Pointwise estimates in the Filippov lemma and Filippov-Ważewski theorem for fourth order differential inclusions
• Gronwall-Bellman type integral inequalities in measure spaces
• Measure driven differential inclusions
• Filippov's and Filippov-Ważewski's theorems on closed domains
• Discrete and continuous boundary problems
• Impulse Differential Inclusions Driven by Discrete Measures
• Fundamental theorems for linear measure differential equations.
• Set-valued analysis
• Impulsive control theory

This page was built for publication: Filippov lemma for measure differential inclusion