Dichotomies and asymptotic formulas for the solutions of differential equations

DOI10.1006/jmaa.1995.1339zbMath0847.34058OpenAlexW2075226793MaRDI QIDQ1909982

Manuel Pinto

Publication date: 8 October 1996

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1339

zbMATH Keywords

linear system\((h, k)\)-dichotomy

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Dichotomy and existence of periodic solutions of quasilinear functional differential equations ⋮ Dichotomy condition and periodic solutions for two nonlinear neutral systems ⋮ On \((h,k)\) manifolds with asymptotic phase ⋮ Asymptotic integration of ordinary different systems ⋮ On \((h,k)\)-stability of evolution operators in Banach spaces ⋮ New class of perturbations for nonuniform exponential dichotomy roughness ⋮ Weighted convergent and bounded solutions of difference systems ⋮ Asymptotic behavior in Volterra difference systems with unbounded delay ⋮ Existence of periodic solutions for differential equations with multiple delays under dichotomy condition ⋮ Robustness of nonuniform \((\mu , \nu )\)-dichotomies in Banach spaces ⋮ On the behaviour of a class of quasilinear (h, k) hyperbolic systems under linear perturbations ⋮ Convergent solutions of functional difference equations ⋮ Hölder regularity of Grobman-Hartman theorem for dynamic equations on measure chains ⋮ Asymptotic solutions for second order delay differential equations ⋮ Reducibility of linear dynamic equations on measure chains

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