Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line
<p/> <p>For a sequence of bounded linear operators <inline-formula><graphic file="1687-1847-2006-058453-i1.gif"/></inline-formula> on a Banach space <it>X</it>, we investigate the characterization of exponential dichotomy of the difference equation...
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2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/058453 |
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doaj-195bfdcd478b46859caa3a8ba193e7eb2020-11-25T02:45:26ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061058453Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-lineHuy Nguyen ThieuHa Vu Thi Ngoc<p/> <p>For a sequence of bounded linear operators <inline-formula><graphic file="1687-1847-2006-058453-i1.gif"/></inline-formula> on a Banach space <it>X</it>, we investigate the characterization of exponential dichotomy of the difference equations <it>v</it><sub><it>n</it>+1</sub> = <it>A</it><sub><it>n</it></sub><it>v</it><sub><it>n</it></sub>. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations <it>v</it><sub><it>n</it>+1</sub> = <it>A</it><sub><it>n</it></sub><it>v</it><sub><it>n</it></sub> + <it>f</it><sub><it>n</it></sub> in <it>l</it><sub><it>p</it></sub> spaces (1 ≤ <it>p</it> < ∞). Then we apply the results to study the robustness of exponential dichotomy of difference equations.</p> http://www.advancesindifferenceequations.com/content/2006/058453 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Huy Nguyen Thieu Ha Vu Thi Ngoc |
| spellingShingle |
Huy Nguyen Thieu Ha Vu Thi Ngoc Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line Advances in Difference Equations |
| author_facet |
Huy Nguyen Thieu Ha Vu Thi Ngoc |
| author_sort |
Huy Nguyen Thieu |
| title |
Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| title_short |
Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| title_full |
Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| title_fullStr |
Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| title_full_unstemmed |
Exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| title_sort |
exponential dichotomy of difference equations in <it>l</it><sub><it>p</it></sub>-phase spaces on the half-line |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2006-01-01 |
| description |
<p/> <p>For a sequence of bounded linear operators <inline-formula><graphic file="1687-1847-2006-058453-i1.gif"/></inline-formula> on a Banach space <it>X</it>, we investigate the characterization of exponential dichotomy of the difference equations <it>v</it><sub><it>n</it>+1</sub> = <it>A</it><sub><it>n</it></sub><it>v</it><sub><it>n</it></sub>. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations <it>v</it><sub><it>n</it>+1</sub> = <it>A</it><sub><it>n</it></sub><it>v</it><sub><it>n</it></sub> + <it>f</it><sub><it>n</it></sub> in <it>l</it><sub><it>p</it></sub> spaces (1 ≤ <it>p</it> < ∞). Then we apply the results to study the robustness of exponential dichotomy of difference equations.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2006/058453 |
| work_keys_str_mv |
AT huynguyenthieu exponentialdichotomyofdifferenceequationsinitlitsubitpitsubphasespacesonthehalfline AT havuthingoc exponentialdichotomyofdifferenceequationsinitlitsubitpitsubphasespacesonthehalfline |
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1724762952473509888 |