On the Boundedness of Solutions of Discontinuous Differential Equations

Authors

  • Iguer Santos Sao Paulo State University

DOI:

https://doi.org/10.5540/tcam.2021.022.03.00413

Abstract

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.

Author Biography

Iguer Santos, Sao Paulo State University

Departament of Mathematics. Assistent Professor.

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Published

2021-09-02

How to Cite

Santos, I. (2021). On the Boundedness of Solutions of Discontinuous Differential Equations. Trends in Computational and Applied Mathematics, 22(3), 413–422. https://doi.org/10.5540/tcam.2021.022.03.00413

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Section

Original Article