Tomáš Kisela, Institute of Mathematics, Brno, University of Technology, Technická 2, 616 69 Brno, Czech Republic, e-mail: kisela@fme.vutbr.cz
Abstract: This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper {J. Čermák, T. Kisela, and L. Nechvátal} (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference system.
Keywords: fractional difference system; stability; Laplace transform
Classification (MSC 2010): 39A06, 39A30, 39A12
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