Stable manifolds for non-instantaneous impulsive nonautonomous differential equations
In this paper, we study stable invariant manifolds for a class of nonautonomous non-instantaneous impulsive equations where the homogeneous part has a nonuniform exponential dichotomy. We establish a stable invariant manifold result for sufficiently small perturbations by constructing stable and uns...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciaegyenlet |
| doi: | 10.14232/ejqtde.2019.1.82 |
| Online Access: | http://acta.bibl.u-szeged.hu/64726 |
| Tartalmi kivonat: | In this paper, we study stable invariant manifolds for a class of nonautonomous non-instantaneous impulsive equations where the homogeneous part has a nonuniform exponential dichotomy. We establish a stable invariant manifold result for sufficiently small perturbations by constructing stable and unstable invariant manifolds and we also show that the stable invariant manifolds are of class C 1 outside the jumping times using the continuous Fiber contraction principle technique. |
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| Terjedelem/Fizikai jellemzők: | 1-28 |
| ISSN: | 1417-3875 |