Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
Copyright policy )Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the C 1 smoothness of center manifolds outside the jumping times.
- Guizhou University China (People's Republic of)
- University of Galway Ireland
- Qufu Normal University China (People's Republic of)
- Comenius University Slovakia
- Slovak Academy of Sciences Slovakia
Dichotomy, trichotomy of solutions to ordinary differential equations, QA1-939, Nonautonomous smooth dynamical systems, Perturbations of ordinary differential equations, nonuniform exponential trichotomy, impulsive differential equations, Invariant manifolds for ordinary differential equations, Ordinary differential equations with impulses, Mathematics, non-instantaneous impulses, center manifold
Dichotomy, trichotomy of solutions to ordinary differential equations, QA1-939, Nonautonomous smooth dynamical systems, Perturbations of ordinary differential equations, nonuniform exponential trichotomy, impulsive differential equations, Invariant manifolds for ordinary differential equations, Ordinary differential equations with impulses, Mathematics, non-instantaneous impulses, center manifold
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