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Some roughness results concerning reducibility for linear difference equations

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  • Garyfalos Papaschinopoulos

Abstract

In this paper we prove first that the exponential dichotomy of linear difference equations is rough. Moreover we prove that if the coefficient matrix of a linear difference equation is almost periodic, then the Joint property of having an exponential dichotomy with a projection P and being reducible with P by an almost periodic kinematics similarity is rough.

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  • Garyfalos Papaschinopoulos, 1988. "Some roughness results concerning reducibility for linear difference equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:734790
    DOI: 10.1155/S0161171288000961
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