On uniform logarithmic dichotomy of discrete skew-evolution semiflows
The paper considers two notions of logarithmic dichotomy for discrete skew-evolution semiflows in Banach spaces. We establish the relation between them, we give a characterization for the uniform logarithmic dichotomy of Zabczyk type and a sufficient criteria for the uniform logarithmic dichotomy.
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2022-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/awutm-2022-0016 |
| _version_ | 1797947679975669760 |
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| author | Mihiţ Claudia Luminiţa |
| author_facet | Mihiţ Claudia Luminiţa |
| author_sort | Mihiţ Claudia Luminiţa |
| collection | DOAJ |
| description | The paper considers two notions of logarithmic dichotomy for discrete skew-evolution semiflows in Banach spaces. We establish the relation between them, we give a characterization for the uniform logarithmic dichotomy of Zabczyk type and a sufficient criteria for the uniform logarithmic dichotomy. |
| first_indexed | 2024-04-10T21:30:28Z |
| format | Article |
| id | doaj.art-5a967f3284354479a9efaa335dbb5562 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-10T21:30:28Z |
| publishDate | 2022-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-5a967f3284354479a9efaa335dbb55622023-01-19T13:20:32ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072022-12-01582495510.2478/awutm-2022-0016On uniform logarithmic dichotomy of discrete skew-evolution semiflowsMihiţ Claudia Luminiţa0Department of Mathematics and Computer Science, “Aurel Vlaicu” University of Arad, Elena Drăgoi Street, no. 2, 310330Arad, RomaniaThe paper considers two notions of logarithmic dichotomy for discrete skew-evolution semiflows in Banach spaces. We establish the relation between them, we give a characterization for the uniform logarithmic dichotomy of Zabczyk type and a sufficient criteria for the uniform logarithmic dichotomy.https://doi.org/10.2478/awutm-2022-0016uniform logarithmic dichotomydiscrete skew-evolution semiflowslyapunov function |
| spellingShingle | Mihiţ Claudia Luminiţa On uniform logarithmic dichotomy of discrete skew-evolution semiflows Annals of the West University of Timisoara: Mathematics and Computer Science uniform logarithmic dichotomy discrete skew-evolution semiflows lyapunov function |
| title | On uniform logarithmic dichotomy of discrete skew-evolution semiflows |
| title_full | On uniform logarithmic dichotomy of discrete skew-evolution semiflows |
| title_fullStr | On uniform logarithmic dichotomy of discrete skew-evolution semiflows |
| title_full_unstemmed | On uniform logarithmic dichotomy of discrete skew-evolution semiflows |
| title_short | On uniform logarithmic dichotomy of discrete skew-evolution semiflows |
| title_sort | on uniform logarithmic dichotomy of discrete skew evolution semiflows |
| topic | uniform logarithmic dichotomy discrete skew-evolution semiflows lyapunov function |
| url | https://doi.org/10.2478/awutm-2022-0016 |
| work_keys_str_mv | AT mihitclaudialuminita onuniformlogarithmicdichotomyofdiscreteskewevolutionsemiflows |