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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |