The Chetaev Theorem for Ordinary Difference Equations

In this work we obtain necessary conditions for the instability in the Lyapunov sense of equilibrium points of autonomous and non-autonomous difference equations through the adaptation of differential methods and techniques due to Chetaev [3].

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Autores principales:	Cárcamo,Cristian, Vidal,Claudio
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:	Lyapunov's stability Chetaev's Theorem equilibrium solution, instability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400007
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spelling	oai:scielo:S0716-091720120004000072012-12-18The Chetaev Theorem for Ordinary Difference EquationsCárcamo,CristianVidal,Claudio Lyapunov's stability Chetaev's Theorem equilibrium solution, instability In this work we obtain necessary conditions for the instability in the Lyapunov sense of equilibrium points of autonomous and non-autonomous difference equations through the adaptation of differential methods and techniques due to Chetaev [3].info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.4 20122012-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400007en10.4067/S0716-09172012000400007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Lyapunov's stability Chetaev's Theorem equilibrium solution, instability
spellingShingle	Lyapunov's stability Chetaev's Theorem equilibrium solution, instability Cárcamo,Cristian Vidal,Claudio The Chetaev Theorem for Ordinary Difference Equations
description	In this work we obtain necessary conditions for the instability in the Lyapunov sense of equilibrium points of autonomous and non-autonomous difference equations through the adaptation of differential methods and techniques due to Chetaev [3].
author	Cárcamo,Cristian Vidal,Claudio
author_facet	Cárcamo,Cristian Vidal,Claudio
author_sort	Cárcamo,Cristian
title	The Chetaev Theorem for Ordinary Difference Equations
title_short	The Chetaev Theorem for Ordinary Difference Equations
title_full	The Chetaev Theorem for Ordinary Difference Equations
title_fullStr	The Chetaev Theorem for Ordinary Difference Equations
title_full_unstemmed	The Chetaev Theorem for Ordinary Difference Equations
title_sort	chetaev theorem for ordinary difference equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400007
work_keys_str_mv	AT carcamocristian thechetaevtheoremforordinarydifferenceequations AT vidalclaudio thechetaevtheoremforordinarydifferenceequations AT carcamocristian chetaevtheoremforordinarydifferenceequations AT vidalclaudio chetaevtheoremforordinarydifferenceequations
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The Chetaev Theorem for Ordinary Difference Equations

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