On the exponential behaviour of non-autonomous difference equations

DOI10.1017/S0013091513000382zbMath1285.39007OpenAlexW2157095022MaRDI QIDQ5397386

Claudia Valls, Luis Barreira

Publication date: 20 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&fileId=S0013091513000382&fulltextType=RA&aid=8992440

zbMATH Keywords

Lyapunov exponentssmall perturbationsexponential behaviornon-autonomous difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

• Nonautonomous difference equations and a Perron-type theorem
• A Perron type theorem for functional differential equations
• Perron type theorems for functional differential equations with infinite delay in a Banach space
• Asymptotic behavior and oscillation of functional differential equations
• Asymptotic Integrations of Linear Differential Equations