Input-output conditions for exponential trichotomy of dynamical systems
The aim of the paper is to provide new properties concerning the property of uniform exponential trichotomy on the real line. We obtain a characterization for uniform exponential trichotomy in terms of the solvability of an associated integral equation.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2008-08-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/893 |
| _version_ | 1818520830346264576 |
|---|---|
| author | Adina Luminiţa Sasu Bogdan Sasu |
| author_facet | Adina Luminiţa Sasu Bogdan Sasu |
| author_sort | Adina Luminiţa Sasu |
| collection | DOAJ |
| description | The aim of the paper is to provide new properties concerning the property of uniform exponential trichotomy on the real line. We obtain a characterization for uniform exponential trichotomy in terms of the solvability of an associated integral equation. |
| first_indexed | 2024-12-11T01:42:54Z |
| format | Article |
| id | doaj.art-ed81967fdd8a4f7c99000d988c235e33 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T01:42:54Z |
| publishDate | 2008-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-ed81967fdd8a4f7c99000d988c235e332022-12-22T01:24:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2008-08-01372Input-output conditions for exponential trichotomy of dynamical systemsAdina Luminiţa Sasu0Bogdan Sasu1West University of TimişoaraWest University of TimişoaraThe aim of the paper is to provide new properties concerning the property of uniform exponential trichotomy on the real line. We obtain a characterization for uniform exponential trichotomy in terms of the solvability of an associated integral equation.https://www.ictp.acad.ro/jnaat/journal/article/view/893evolution familyexponential trichotomyintegral equation |
| spellingShingle | Adina Luminiţa Sasu Bogdan Sasu Input-output conditions for exponential trichotomy of dynamical systems Journal of Numerical Analysis and Approximation Theory evolution family exponential trichotomy integral equation |
| title | Input-output conditions for exponential trichotomy of dynamical systems |
| title_full | Input-output conditions for exponential trichotomy of dynamical systems |
| title_fullStr | Input-output conditions for exponential trichotomy of dynamical systems |
| title_full_unstemmed | Input-output conditions for exponential trichotomy of dynamical systems |
| title_short | Input-output conditions for exponential trichotomy of dynamical systems |
| title_sort | input output conditions for exponential trichotomy of dynamical systems |
| topic | evolution family exponential trichotomy integral equation |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/893 |
| work_keys_str_mv | AT adinaluminitasasu inputoutputconditionsforexponentialtrichotomyofdynamicalsystems AT bogdansasu inputoutputconditionsforexponentialtrichotomyofdynamicalsystems |