Asymptotic integration of ordinary different systems

DOI10.1006/jmaa.1997.5683zbMath0945.34035OpenAlexW2016772510MaRDI QIDQ1380304

Manuel Pinto, Samuel Castillo

Publication date: 19 September 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5683

zbMATH Keywords

asymptotic integrationdichotomytrichotomyHartman-Wintner theorem

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems ⋮ Asymptotic integration of ordinary different systems ⋮ An asymptotic theory for nonlinear functional differential equations. ⋮ Weighted convergent and bounded solutions of difference systems ⋮ Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations ⋮ Cauchy matrix for linear almost periodic systems and some consequences ⋮ The Hartman-Wintner theorem for functional-differential equations

Cites Work

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• A unified theory of asymptotic integration
• Discrete dichotomies
• Asymptotic integration of ordinary different systems
• Roughness of \((h,k)\)-dichotomies
• Dichotomies and asymptotic formulas for the solutions of differential equations
• The asymptotic nature of solutions of linear systems of differential equations
• Dichotomies and asymptotic solutions of nonlinear differential systems
• Asymptotic Integrations of Linear Differential Equations