A reduction theorem for systems of differential equations with impulse effect in a Banach space

DOI10.1006/JMAA.1996.0374zbMath0860.34027OpenAlexW2008402408MaRDI QIDQ1815474

Andrejs Reinfelds

Publication date: 9 December 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.1996.0374

zbMATH Keywords

Banach spacesreduction principleunique piecewise continuous bounded integral manifoldweakly nonlinear abstract impulsive equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20)

Related Items (6)

Hartman-Grobman theorem for the impulsive system with unbounded nonlinear term ⋮ A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY ⋮ NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ Dynamical equivalence of impulsive differential equations ⋮ Stability of impulsive differential systems ⋮ Topological conjugacy between two kinds of nonlinear differential equations via generalized exponential dichotomy

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