The Chetaev Theorem for Ordinary Difference Equations

  • Cristian Cárcamo Universidad del Bío-Bío.
  • Claudio Vidal Universidad del Bío-Bío.
Palabras clave: Lyapunov’s stability, Chetaev’s Theorem, equilibrium solution, instability, estabilidad de Lyapunov, teorema de Chetaev, solución de equilibrio, inestabilidad.


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].

Biografía del autor

Cristian Cárcamo, Universidad del Bío-Bío.
Facultad de Ciencias, Departamento de Matemática.
Claudio Vidal, Universidad del Bío-Bío.
Facultad de Ciencias, Departamento de Matemática.


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Cómo citar
Cárcamo, C., & Vidal, C. (2013). The Chetaev Theorem for Ordinary Difference Equations. Proyecciones. Journal of Mathematics, 31(4), 391-402.