Yong-Zhuo Chen, "Global asymptotic stability of inhomogeneous iterates", International Journal of Mathematics and Mathematical Sciences, vol. 29, Article ID 513109, 10 pages, 2002. https://doi.org/10.1155/S0161171202011316
Global asymptotic stability of inhomogeneous iterates
Let be a finite-dimensional complete metric space, and a sequence of uniformly convergent operators on . We study the non-autonomous discrete dynamical system and the globally asymptotic stability of the inhomogeneous iterates of . Then we apply the results to investigate the stability of equilibrium of 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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