SOME ROUGHNESS RESULTS CONCERNING REDUCIBILITY FOR LINEAR DIFFERENCE EQUATIONS

GARYFALOS PAPASCHINOPOULOS

《International Journal of Mathematics and Mathematical Sciences》 1988卷 (1988/12) Pp. 793-804

https://doi.org/10.1155/S0161171288000961

摘要

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＂.

關鍵字

Exponential dichotomy ； almost periodic matrix ； adjoint equation