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
Spectral Decomposition and Invariant Manifolds for Some Functional Partial Differential Equations
✍ Scribed by Hana Petzeltová; Olof J. Staffans
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 382 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper deals with the existence of periodic solutions for some partial functional differential equations with infinite delay. We suppose that the linear part is nondensely defined and satisfies the Hille᎐Yosida condition. In the nonlinear case we give several criteria to ensure the existence of
## Abstract In this paper we apply quarkonial decomposition to the ordinary differential equation of delay type __f__ ′(__x__) = __f__ (__x__ – 1), __x__ ≥ 1. We shall derive an explicit formula in terms of the quarkonial decomposition. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
This paper studies spectral properties of linear retarded functional differential equations in Hilbert spaces with the emphasis on their relations to structural operators. The equations involve unbounded operators acting on the discrete and distributed delayed terms, and the operators acting on the