The Chetaev Theorem for Ordinary Difference Equations

Cristian Cárcamo, Claudio Vidal

Resumen


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

Palabras clave


Lyapunov’s stability; Chetaev’s Theorem; equilibrium solution; instability; estabilidad de Lyapunov; teorema de Chetaev; solución de equilibrio; inestabilidad.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172012000400007

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