Abstract
In this brief chapter, we only consider perturbations of systems of difference equations with a single non-singular Jordan block. That is, we consider
Following the approach taken in Sect. 6.2, the next theorem can be considered as a discrete counterpart of Corollary 6.2, and its proof is parallel to the proof given in Theorem 6.1.
Keywords
- Discrete Counterpart
- Jordan Block
- Difference Equations
- Elaydi
- Perturba
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S. Elaydi, An extension of Levinson’s theorem to asymptotically Jordan difference equations. J. Differ. Equ. Appl. 1, 369–390 (1995)
S. Elaydi, Asymptotics for linear difference equations I: basic theory. J. Differ. Equ. Appl. 5, 563–589 (1999)
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Bodine, S., Lutz, D.A. (2015). Perturbations of Jordan Difference Systems. In: Asymptotic Integration of Differential and Difference Equations. Lecture Notes in Mathematics, vol 2129. Springer, Cham. https://doi.org/10.1007/978-3-319-18248-3_7
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DOI: https://doi.org/10.1007/978-3-319-18248-3_7
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