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Invariant manifolds of one class of systems of impulsive differential equations

✍ Scribed by M. O. Perestyuk; P. V. Feketa

Publisher
Springer US
Year
2010
Tongue
English
Weight
197 KB
Volume
13
Category
Article
ISSN
1536-0059

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πŸ“œ SIMILAR VOLUMES

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We construct an invariant manifold of periodic orbits for a class of non-linear Schro dinger equations. Using standard ideas of the theory of center manifolds, we rederive the results of Soffer and Weinstein (Comm. Math. Phys. 133, 119 146 (1997); J. Differential Equations 98, 376 390 (1992)) on the

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-attracting and -invariant sets for a class of impulsive stochastic functional differential equations
✍ Liguang Xu; Daoyi Xu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 556 KB

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L-operator differential inequality and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differe