On the Boundedness of Solutions of Discontinuous Differential Equations

DOI10.5540/TCAM.2021.022.03.00413OpenAlexW3185535804WikidataQ115159344 ScholiaQ115159344MaRDI QIDQ6084573

Iguer Luis Domini dos Santos

Publication date: 2 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5540/tcam.2021.022.03.00413

zbMATH Keywords

boundedness of solutionsdiscontinuous differential equationsCarathéodory solutions

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Discontinuous ordinary differential equations (34A36)

Cites Work

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• Dependence of solutions of nonsmooth differential-algebraic equations on parameters
• A nonsmooth Lyapunov function and stability for ODE's of Carathéodory type
• Nonpathological Lyapunov functions and discontinuous Carathéodory systems
• Optimization and nonsmooth analysis
• Lyapunov stability theory of nonsmooth systems
• Construction of nonpathological Lyapunov functions for discontinuous systems with Caratheodory solutions

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