Some roughness results concerning reducibility for linear difference equations
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...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171288000961 |
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| _version_ | 1832545659300872192 |
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| author | Garyfalos Papaschinopoulos |
| author_facet | Garyfalos Papaschinopoulos |
| author_sort | Garyfalos Papaschinopoulos |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-96590042ec5b42c3874e57e20bd9aae2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-96590042ec5b42c3874e57e20bd9aae22025-02-03T07:25:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111479380410.1155/S0161171288000961Some roughness results concerning reducibility for linear difference equationsGaryfalos Papaschinopoulos0Democritus University of Thrace, School of Engineering, Xanthi 671 00, GreeceIn 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.http://dx.doi.org/10.1155/S0161171288000961exponential dichotomyalmost periodic matrixadjoint equation. |
| spellingShingle | Garyfalos Papaschinopoulos Some roughness results concerning reducibility for linear difference equations International Journal of Mathematics and Mathematical Sciences exponential dichotomy almost periodic matrix adjoint equation. |
| title | Some roughness results concerning reducibility for linear difference equations |
| title_full | Some roughness results concerning reducibility for linear difference equations |
| title_fullStr | Some roughness results concerning reducibility for linear difference equations |
| title_full_unstemmed | Some roughness results concerning reducibility for linear difference equations |
| title_short | Some roughness results concerning reducibility for linear difference equations |
| title_sort | some roughness results concerning reducibility for linear difference equations |
| topic | exponential dichotomy almost periodic matrix adjoint equation. |
| url | http://dx.doi.org/10.1155/S0161171288000961 |
| work_keys_str_mv | AT garyfalospapaschinopoulos someroughnessresultsconcerningreducibilityforlineardifferenceequations |