Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emp...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/819046 |
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| author | Nicolae Lupa |
| author_facet | Nicolae Lupa |
| author_sort | Nicolae Lupa |
| collection | DOAJ |
| description | In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients. |
| format | Article |
| id | doaj-art-5e9bbf2416494d10a40cbd2f47af1ed8 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5e9bbf2416494d10a40cbd2f47af1ed82025-02-03T01:13:10ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/819046819046Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach SpacesNicolae Lupa0Department of Mathematics, “Politehnica” University of Timişoara, P-ţa Victoriei 2, 300006 Timişoara, RomaniaIn this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients.http://dx.doi.org/10.1155/2014/819046 |
| spellingShingle | Nicolae Lupa Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces The Scientific World Journal |
| title | Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces |
| title_full | Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces |
| title_fullStr | Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces |
| title_full_unstemmed | Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces |
| title_short | Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces |
| title_sort | roughness of z z nonuniform exponential dichotomy for difference equations in banach spaces |
| url | http://dx.doi.org/10.1155/2014/819046 |
| work_keys_str_mv | AT nicolaelupa roughnessofzznonuniformexponentialdichotomyfordifferenceequationsinbanachspaces |