Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces
The present paper treats three concepts of nonuniform polynomial trichotomies for noninvertible evolution operators acting on Banach spaces. The connections between these concepts are established through numerous examples and counterexamples for systems defined on the Banach space of square-summable...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/241402 |
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| _version_ | 1832545527596580864 |
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| author | Mihai-Gabriel Babuţia Nicolae Marian Seimeanu |
| author_facet | Mihai-Gabriel Babuţia Nicolae Marian Seimeanu |
| author_sort | Mihai-Gabriel Babuţia |
| collection | DOAJ |
| description | The present paper treats three concepts of nonuniform polynomial trichotomies for noninvertible evolution operators acting on Banach spaces. The connections between these concepts are established through numerous examples and counterexamples for systems defined on the Banach space of square-summable sequences. |
| format | Article |
| id | doaj-art-9aa4ce42757b4e6daf9f41747dc69210 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9aa4ce42757b4e6daf9f41747dc692102025-02-03T07:25:32ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/241402241402Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach SpacesMihai-Gabriel Babuţia0Nicolae Marian Seimeanu1Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, V. Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, V. Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaThe present paper treats three concepts of nonuniform polynomial trichotomies for noninvertible evolution operators acting on Banach spaces. The connections between these concepts are established through numerous examples and counterexamples for systems defined on the Banach space of square-summable sequences.http://dx.doi.org/10.1155/2015/241402 |
| spellingShingle | Mihai-Gabriel Babuţia Nicolae Marian Seimeanu Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces International Journal of Differential Equations |
| title | Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces |
| title_full | Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces |
| title_fullStr | Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces |
| title_full_unstemmed | Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces |
| title_short | Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces |
| title_sort | connections between some concepts of polynomial trichotomy for noninvertible evolution operators in banach spaces |
| url | http://dx.doi.org/10.1155/2015/241402 |
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