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Existence of globally attracting almost automorphic solutions to some nonautonomous higher-order difference equations
- Source :
-
Applied Mathematics & Computation . Feb2013, Vol. 219 Issue 12, p6510-6519. 10p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper we introduce a new theory for asymptotically almost automorphic sequences on which is a natural generalization of the concept of asymptotically almost periodicity for sequences due to Ky Fan. We next make extensive use of such a newly introduced concept as well as discrete dichotomy techniques to study and establish the existence of globally attracting almost automorphic solutions to some higher-order nonautonomous difference equations. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 219
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 85874494
- Full Text :
- https://doi.org/10.1016/j.amc.2012.12.067