On Ф0-stability of a class of singular difference equations
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© 2013 Wang et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper investigates a class of singular difference equations. Using the framework of the theory of singular difference equations and cone-valued Lyapunov functions, some necessary and sufficient conditions on the the Ф0-stability of a trivial solution of singular difference equations are obtained. Finally, an example is provided to illustrate our results.
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