Publicacions Matemàtiques

On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition

Anna Cima, Armengol Gasull, and Francesc Mañosas

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Abstract

We prove a global asymptotic stability result for maps coming from n-th order dfference equation and satisfying a Markus-Yamabe type condition. We also show that this result is sharp.

Article information

Source
Publ. Mat., Volume EXTRA (2014), 167-178.

Dates
First available in Project Euclid: 19 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.pm/1400505231

Mathematical Reviews number (MathSciNet)
MR3211832

Zentralblatt MATH identifier
1308.39015

Subjects
Primary: 39A11
Secondary: 37C05: Smooth mappings and diffeomorphisms 37C75: Stability theory

Keywords
Global asymptotic stability Lyapunov function difference equation Markus-Yamabe problems

Citation

Cima, Anna; Gasull, Armengol; Mañosas, Francesc. On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition. Publ. Mat. EXTRA (2014), 167--178. https://projecteuclid.org/euclid.pm/1400505231


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