Lyapunov Function and Exponential Trichotomy on Time Scales
We study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/958381 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553369073352704 |
|---|---|
| author | Ji Zhang |
| author_facet | Ji Zhang |
| author_sort | Ji Zhang |
| collection | DOAJ |
| description | We study the relation between Lyapunov function and
exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore,
as an application of these results, we give the roughness of exponential trichotomy on
time scales. |
| format | Article |
| id | doaj-art-ef54e346d81f4cc3a9caca0a762c6cd7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ef54e346d81f4cc3a9caca0a762c6cd72025-02-03T05:54:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/958381958381Lyapunov Function and Exponential Trichotomy on Time ScalesJi Zhang0College of Mathematics, Jilin University, Changchun 130012, ChinaWe study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.http://dx.doi.org/10.1155/2011/958381 |
| spellingShingle | Ji Zhang Lyapunov Function and Exponential Trichotomy on Time Scales Discrete Dynamics in Nature and Society |
| title | Lyapunov Function and Exponential Trichotomy on Time Scales |
| title_full | Lyapunov Function and Exponential Trichotomy on Time Scales |
| title_fullStr | Lyapunov Function and Exponential Trichotomy on Time Scales |
| title_full_unstemmed | Lyapunov Function and Exponential Trichotomy on Time Scales |
| title_short | Lyapunov Function and Exponential Trichotomy on Time Scales |
| title_sort | lyapunov function and exponential trichotomy on time scales |
| url | http://dx.doi.org/10.1155/2011/958381 |
| work_keys_str_mv | AT jizhang lyapunovfunctionandexponentialtrichotomyontimescales |