Stable and unstable manifolds for partial functional differential equations
β Scribed by Margaret C. Memory
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 748 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are stu