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Difference equations in a general setting

✍ Scribed by D.J. Hartfiel

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
99 KB
Volume
305
Category
Article
ISSN
0024-3795

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✦ Synopsis

For a square matrix A, the difference equation y k+1 = y k A generates a sequence of vectors y 0 , y 1 , . . . The long run behavior of this sequence is described in terms of a group obtained from A, A 2 . . . The results are given in a topological semigroup setting so they can also be applied to more general difference equations.

πŸ“œ SIMILAR VOLUMES

Periodic solutions of difference equatio
Periodic solutions of difference equations with general periodicity
✍ R.P. Agarwal; Weinian Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 389 KB

Motivated by [1], we study the existence of periodic solutions of a perturbed continuous difference equation of first order without the assumptions of one-periodicity. Moreover, we generalize our results to the case of higher-order difference equations. We also give an algorithm to estimate the boun