Determining modes and almost periodic integrals for cocycles
| Autor: | V. Reitmann, Yu. N. Kalinin, I. V. Ermakov |
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| Rok vydání: | 2011 |
| Předmět: |
Class (set theory)
Mathematics::Dynamical Systems Partial differential equation Mathematics::Operator Algebras General Mathematics Mathematical analysis Hilbert space Metric space symbols.namesake Mathematics::K-Theory and Homology Mathematics::Quantum Algebra Ordinary differential equation Microwave heating Attractor symbols Analysis Mathematics |
| Zdroj: | Differential Equations. 47:1837-1852 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s0012266111130015 |
| Popis: | Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The existence of a B-pullback attractor in the problem of microwave heating of a material is proved. The notion of almost periodic integral for a cocycle is introduced, and the existence of such an integral for a certain class of cocycles is proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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