Dichotomies and asymptotic solutions of nonlinear differential systems

DOI10.1016/0362-546X(94)90125-2zbMath0814.34030OpenAlexW2072336476MaRDI QIDQ4322152

Manuel Pinto, Naulin, Raúl

Publication date: 9 February 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90125-2

zbMATH Keywords

asymptotic solutionsdichotomynonlinear differential systems

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (15)

Generalized exponential behavior and topological equivalence ⋮ Nonuniform dichotomic behavior: Lipschitz invariant manifolds for ODEs ⋮ Instability of nonautonomous state-dependent delay integro-differential systems ⋮ Asymptotic equivalence of abstract impulsive differential equations ⋮ Instability criteria for impulsive hybrid state dependent delay integrodifferential systems ⋮ Asymptotic integration of ordinary different systems ⋮ On \((h,k)\)-stability of evolution operators in Banach spaces ⋮ Generalized evolution semigroups and general dichotomies ⋮ Weighted convergent and bounded solutions of difference systems ⋮ Asymptotic behavior in Volterra difference systems with unbounded delay ⋮ Stability of Discrete Dichotomies for Linear Difference Systems ⋮ Admissible perturbations of exponential dichotomy roughness ⋮ Dichotomies and asymptotic integration of linear differential equations of order n ⋮ Convergent solutions of functional difference equations ⋮ Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay

Cites Work

• Exponential dichotomy and trichotomy of nonlinear differential equations
• Dichotomies in stability theory
• On the asymptotic relationships between solutions of two systems of ordinary differential equations
• Nonlinear Differential Equations with Forcing Terms
• The Asymptotic Behavior of a System of Linear Differential Equations
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