On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces
The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2014-12-01
|
| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/awutm-2014-0015 |
| _version_ | 1818191929039388672 |
|---|---|
| author | Kovács Monteola Ilona Megan Mihail Mihiţ Claudia Luminiţa |
| author_facet | Kovács Monteola Ilona Megan Mihail Mihiţ Claudia Luminiţa |
| author_sort | Kovács Monteola Ilona |
| collection | DOAJ |
| description | The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, charac- terizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained. |
| first_indexed | 2024-12-12T00:22:25Z |
| format | Article |
| id | doaj.art-eb510c51c7964ce18e20757ab9a0b76d |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-12-12T00:22:25Z |
| publishDate | 2014-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-eb510c51c7964ce18e20757ab9a0b76d2022-12-22T00:44:42ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072014-12-0152212714310.2478/awutm-2014-0015awutm-2014-0015On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach SpacesKovács Monteola Ilona0Megan Mihail1Mihiţ Claudia Luminiţa2Department of Mathematics West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timisoara RomaniaAcademy of Romanian Scientists West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timişoara RomaniaDepartment of Mathematics West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timişoara RomaniaThe paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, charac- terizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained.https://doi.org/10.2478/awutm-2014-0015evolution operators(hk)-trichotomy(hk)- dichotomy |
| spellingShingle | Kovács Monteola Ilona Megan Mihail Mihiţ Claudia Luminiţa On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces Annals of the West University of Timisoara: Mathematics and Computer Science evolution operators (h k)-trichotomy (h k)- dichotomy |
| title | On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces |
| title_full | On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces |
| title_fullStr | On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces |
| title_full_unstemmed | On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces |
| title_short | On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces |
| title_sort | on h k dichotomy and h k trichotomy of noninvertible evolution operators in banach spaces |
| topic | evolution operators (h k)-trichotomy (h k)- dichotomy |
| url | https://doi.org/10.2478/awutm-2014-0015 |
| work_keys_str_mv | AT kovacsmonteolailona onhkdichotomyandhktrichotomyofnoninvertibleevolutionoperatorsinbanachspaces AT meganmihail onhkdichotomyandhktrichotomyofnoninvertibleevolutionoperatorsinbanachspaces AT mihitclaudialuminita onhkdichotomyandhktrichotomyofnoninvertibleevolutionoperatorsinbanachspaces |