Lyapunov Instability for Discontinuous Differential Equations

Authors

DOI:

https://doi.org/10.22481/intermaths.v2i2.9811

Keywords:

Discontinuous differential equations; Carathéodory solutions; Lyapunov stability; Instability.

Abstract

The present work studies the Lyapunov instability for discontinuous differential equations through the use of the notion of Carathéodory solution to differential equations. From Lyapunov's first instability theorem and Chetaev's instability theorem, which deal with instability to ordinary differential equations, two Lyapunov instability results for discontinuous differential equations are obtained.

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Author Biography

Iguer Luis Domini dos Santos, Universidade Estadual Paulista (UNESP), Faculdade de Engenharia, Câmpus de Ilha Solteira, SP, Brasi

Iguer Luis Domini dos Santos received his MSc and PhD degrees in Mathematics from São Paulo State University (UNESP), Brazil, in 2008 and 2011, respectively. He is currently an Assistant Professor at São Paulo State University (UNESP), Ilha Solteira, Brazil, with the Department of Mathematics. His research interests include ordinary differential equations and optimal control. 

References

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Published

2021-12-28

How to Cite

Santos, . I. L. D. dos . (2021). Lyapunov Instability for Discontinuous Differential Equations. INTERMATHS, 2(2), 49-58. https://doi.org/10.22481/intermaths.v2i2.9811

Issue

Vol. 2 No. 2 (2021)

Section

Artigos

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