A Hilbert Space Approach to Difference Equations
Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-review
Contributors
Abstract
We consider general difference equations un+1= F(u) n for n∈ Z on exponentially weighted ℓ2 spaces of two-sided Hilbert space-valued sequences u and discuss initial value problems. As an application of the Hilbert space approach, we characterize exponential stability of linear equations and prove a stable manifold theorem for causal nonlinear difference equations.
Details
| Original language | English |
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| Title of host publication | Difference Equations, Discrete Dynamical Systems and Applications |
| Editors | Saber Elaydi, Christian Pötzsche, Adina Luminiţa Sasu |
| Publisher | Springer Verlag, New York |
| Pages | 285-307 |
| Number of pages | 23 |
| ISBN (electronic) | 978-3-030-20016-9 |
| ISBN (print) | 978-3-030-20015-2, 978-3-030-20018-3 |
| Publication status | Published - 2019 |
| Peer-reviewed | Yes |
Publication series
| Series | Springer proceedings in mathematics and statistics |
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| Volume | 287 |
| ISSN | 2194-1009 |
Conference
| Title | 23rd International Conference on Difference Equations and Applications |
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| Abbreviated title | ICDEA 2017 |
| Conference number | 23 |
| Duration | 24 - 28 July 2017 |
| Location | West University of Timișoara |
| City | Timişoara |
| Country | Romania |
External IDs
| ORCID | /0000-0003-0967-6747/work/213148718 |
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Keywords
ASJC Scopus subject areas
Keywords
- Causality, Exponential stability, Exponentially weighted spaces, Non-linear difference equations, Stable manifold theorem, Z transform