Asymptotic integration under weak dichotomies

DOI10.1216/RMJ-2010-40-1-51zbMath1202.34093OpenAlexW1980869389MaRDI QIDQ968574

Sigrun Bodine, Donald A. Lutz

Publication date: 5 May 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-1-51

zbMATH Keywords

asymptotic behaviorperturbationsdifference equationsdifferential equationsdichotomy conditions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Discrete version of topics in analysis (39A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Cites Work

• On asymptotic equivalence of perturbed linear systems of differential and difference equations
• A unified theory of asymptotic integration
• Asymptotic integration of linear differential equations
• Asymptotic solutions and error estimates for linear systems of difference and differential equations.
• The asymptotic nature of solutions of linear systems of differential equations
• Almost diagonal systems in asymptotic integration
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
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