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D. N. Cheban, “Relations between the Different Types of Stability of the Linear Almost Periodical Systems in the Banach Space,” Electronic Journal of Differential Equations, Vol. 1999, No. 46, 1999, pp. 1-9. http://ejde.math.swt.edu or http://ejde.math.unt.edu

has been cited by the following article:

• TITLE: Dynamic Systems of Shifts in the Space of Piece-Wise Continuous Functions

  AUTHORS: Isaac Kwame Dontwi, William Obeng-Denteh

  KEYWORDS: Dynamic System; Shifts; Piecewise Continuous Functions; Compact Sets; Poisson Discontinuous Function

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.6, November 29, 2012

  ABSTRACT: In this paper we embark on the study of Dynamic Systems of Shifts in the space of piece-wise continuous functions analogue to the known Bebutov system. We give a formal definition of a topological dynamic system in the space of piece-wise continuous functions and show, by way of an example, stability in the sense of Poisson discontinuous function. We prove that a fixed discontinuous function, f, is discontinuous for all its shifts, whereas the trajectory of discontinuous function is not a compact set.