Open AccessOn the Boundedness of Solutions of Discontinuous Differential Equations
Author(s) -
Iguer Luis Domini dos Santos
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.03.00413
Subject(s) - mathematics , lyapunov function , differential equation , mathematical analysis , work (physics) , nonlinear system , physics , quantum mechanics , thermodynamics
By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous differential equations, results are obtained that guarantee sufficient conditions to boundedness of solutions in terms of nonsmooth Lyapunov functions.