Global asymptotic stability of inhomogeneous iterates
Let (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non-autonomous discrete dynamical system xn+1=Tnxn and the globally asymptotic stability of the inhomogeneous iterates of {Tn}. Then we apply the results to investigate t...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011316 |
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| _version_ | 1850105049057853440 |
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| author | Yong-Zhuo Chen |
| author_facet | Yong-Zhuo Chen |
| author_sort | Yong-Zhuo Chen |
| collection | DOAJ |
| description | Let (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on
M. We study the non-autonomous discrete dynamical system
xn+1=Tnxn and the globally asymptotic stability of the
inhomogeneous iterates of {Tn}. Then we apply the results
to investigate the stability of equilibrium of T when it
satisfies certain type of sublinear conditions with respect to the
partial order defined by a closed convex cone. The examples of
application to nonlinear difference equations are also given. |
| format | Article |
| id | doaj-art-3ff9b66bf9de45fba24682acbc12a04b |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3ff9b66bf9de45fba24682acbc12a04b2025-08-20T02:39:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129313314210.1155/S0161171202011316Global asymptotic stability of inhomogeneous iteratesYong-Zhuo Chen0Department of Mathematics, Computer Science and Engineering, University of Pittsburgh at Bradford, Bradford, PA 16701, USALet (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non-autonomous discrete dynamical system xn+1=Tnxn and the globally asymptotic stability of the inhomogeneous iterates of {Tn}. Then we apply the results to investigate the stability of equilibrium of T when it satisfies certain type of sublinear conditions with respect to the partial order defined by a closed convex cone. The examples of application to nonlinear difference equations are also given.http://dx.doi.org/10.1155/S0161171202011316 |
| spellingShingle | Yong-Zhuo Chen Global asymptotic stability of inhomogeneous iterates International Journal of Mathematics and Mathematical Sciences |
| title | Global asymptotic stability of inhomogeneous iterates |
| title_full | Global asymptotic stability of inhomogeneous iterates |
| title_fullStr | Global asymptotic stability of inhomogeneous iterates |
| title_full_unstemmed | Global asymptotic stability of inhomogeneous iterates |
| title_short | Global asymptotic stability of inhomogeneous iterates |
| title_sort | global asymptotic stability of inhomogeneous iterates |
| url | http://dx.doi.org/10.1155/S0161171202011316 |
| work_keys_str_mv | AT yongzhuochen globalasymptoticstabilityofinhomogeneousiterates |