Linearization near the integral manifold for a system of differential equations with piecewise constant argument

DOI10.1006/jmaa.1997.5579zbMath0892.34045OpenAlexW2065146536MaRDI QIDQ1378565

Garyfalos Papaschinopoulos

Publication date: 29 April 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5579

zbMATH Keywords

linearizationreductionexponential dichotomyintegral manifoldspiecewise constant arguments

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Invariant manifolds for ordinary differential equations (34C45)

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Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument ⋮ On the reduction principle for differential equations with piecewise constant argument of generalized type ⋮ Integral manifolds of differential equations with piecewise constant argument of generalized type ⋮ Integral manifolds for uncertain impulsive differential-difference equations with variable impulsive perturbations ⋮ On the almost automorphy of bounded solutions of differential equations with piecewise constant argument ⋮ Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems ⋮ Center manifolds for delay-differential equations with variable argument ⋮ Stable invariant manifolds for delay equations with piecewise constant argument ⋮ Stability of differential equations with piecewise constant arguments of generalized type ⋮ Differential equations with state-dependent piecewise constant argument ⋮ On quasi-periodic solutions of differential equations with piecewise constant argument ⋮ Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments ⋮ Almost periodic solutions of differential equations with piecewise constant argument of generalized type ⋮ Periodic solutions of the hybrid system with small parameter ⋮ Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems

Cites Work

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• Some Results Concerning a Class of Differential Equations with Piecewise Constant Argument