A generalization of Poincaré's theorem for recurrence systems

DOI10.1080/00036810500353750zbMath1093.39009OpenAlexW2052779783MaRDI QIDQ5201444

Manuel Pinto

Publication date: 19 April 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500353750

zbMATH Keywords

asymptotic behaviorrecurrence equationsPoincaré's system

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

Generalized finite moments and Liouville-Green approximations, Asymptotic diagonalization of matrix systems, A few remarks on Poincaré-Perron solutions and regularly varying solutions, Diagonalizability of nonautonomous linear systems with bounded continuous coefficients, Cauchy matrix for linear almost periodic systems and some consequences, Asymptotic formulae for solutions of linear second-order difference equations, Asymptotics for solutions of periodic difference systemsSupported in part by Fondecyt 1030535, 1080034, DGI-MATH UNAP 2008 and Diufro 120521.

Cites Work

• A generalization of Poincaré's theorem for recurrence equations
• Discrete dichotomies
• Asymptotic behavior of solutions of Poincaré recurrence systems
• Asymptotic behavior of a Poincaré recurrence system
• Asymptotic behavior of a nonhomogeneous linear recurrence system
• Asymptotic formulae for nonlinear functional difference equations
• On asymptotics of solutions of poincare difference systems