Lyapunov functions for linear nonautonomous dynamical equations on time scales
<p/> <p>The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.</p>
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2006/069106 |
| _version_ | 1811295328050085888 |
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| author | Zmorzynska Alexandra Kloeden Peter E |
| author_facet | Zmorzynska Alexandra Kloeden Peter E |
| author_sort | Zmorzynska Alexandra |
| collection | DOAJ |
| description | <p/> <p>The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.</p> |
| first_indexed | 2024-04-13T05:31:47Z |
| format | Article |
| id | doaj.art-0dc67aac27444fd587e93d24ebcf9b90 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T05:31:47Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-0dc67aac27444fd587e93d24ebcf9b902022-12-22T03:00:24ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061069106Lyapunov functions for linear nonautonomous dynamical equations on time scalesZmorzynska AlexandraKloeden Peter E<p/> <p>The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.</p>http://www.advancesindifferenceequations.com/content/2006/069106 |
| spellingShingle | Zmorzynska Alexandra Kloeden Peter E Lyapunov functions for linear nonautonomous dynamical equations on time scales Advances in Difference Equations |
| title | Lyapunov functions for linear nonautonomous dynamical equations on time scales |
| title_full | Lyapunov functions for linear nonautonomous dynamical equations on time scales |
| title_fullStr | Lyapunov functions for linear nonautonomous dynamical equations on time scales |
| title_full_unstemmed | Lyapunov functions for linear nonautonomous dynamical equations on time scales |
| title_short | Lyapunov functions for linear nonautonomous dynamical equations on time scales |
| title_sort | lyapunov functions for linear nonautonomous dynamical equations on time scales |
| url | http://www.advancesindifferenceequations.com/content/2006/069106 |
| work_keys_str_mv | AT zmorzynskaalexandra lyapunovfunctionsforlinearnonautonomousdynamicalequationsontimescales AT kloedenpetere lyapunovfunctionsforlinearnonautonomousdynamicalequationsontimescales |