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Original Articles

On the perturbations preserving spectrum of discrete linear systems

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Pages 57-67 | Received 02 Dec 2008, Accepted 19 Mar 2009, Published online: 17 Nov 2010

References

  • Adrianova , L.Y. 1995 . Introduction to Linear Systems of Differential Equations , Vol. 146 , Providence, RI : AMS Bookstore .
  • Barreira , L. and Pesin , Y.B. 2001 . Lyapunov Exponents and Smooth Ergodic Theory , University Lectures Series Vol. 23 , Providence, RI : AMS Bookstore .
  • Barreira , L. and Valls , C. 2007 . Stability theory and Lyapunov regularity . J. Differential Equations , 232 ( 2 ) : 675 – 701 .
  • Bylov , B.F. , Vinograd , R.E. , Grobman , D.M. and Nemytskii , V.V. 1966 . Theory of Lyapunov Exponents and Its Applications to Stability Theory , Moscow : Nauka . (Russian)
  • Gil , M.I. 2007 . Difference Equations in Normed Spaces: Stability and Oscillations , North-Holand Mathematics Studies 206 Amsterdam : Elsevier .
  • Grobamn , D.M. 1957 . Systems of differential equations analogous to linear ones . Dokl. Akad. Nauk SSSR , 86 ( 2 ) : 19 – 22 . (Russian)
  • Izobov , N.A. and Stepanovich , O.P. 1990 . On the invariance of the characteristic exponents of linear systems under exponentially decreasing perturbations . Arch. Math. , 26 ( 2 ) : 108 – 114 . (Russian)

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