Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems
We study the asymptotic behaviour on a finite interval of a class of linear nonautonomous singular differential equations in Banach space by the nonintegrability of the first derivative of its solutions. According to these results, the nonrectifiable attractivity on a finite interval of the zero sol...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/935089 |
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| author | Siniša Miličić Mervan Pašić |
| author_facet | Siniša Miličić Mervan Pašić |
| author_sort | Siniša Miličić |
| collection | DOAJ |
| description | We study the asymptotic behaviour on a finite interval of a class of linear nonautonomous singular differential equations in Banach space by the nonintegrability of the first derivative of its solutions. According to these results, the nonrectifiable attractivity on a finite interval of the zero solution of the two-dimensional linear integrable differential systems with singular matrix-elements is characterized. |
| format | Article |
| id | doaj-art-e4c8796546214e8a8dbf1a423b624dd5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e4c8796546214e8a8dbf1a423b624dd52025-08-20T03:26:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/935089935089Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential SystemsSiniša Miličić0Mervan Pašić1University of Zagreb, Faculty of Electrical Engineering and Computing, Department of Mathematics, 10000 Zagreb, CroatiaUniversity of Zagreb, Faculty of Electrical Engineering and Computing, Department of Mathematics, 10000 Zagreb, CroatiaWe study the asymptotic behaviour on a finite interval of a class of linear nonautonomous singular differential equations in Banach space by the nonintegrability of the first derivative of its solutions. According to these results, the nonrectifiable attractivity on a finite interval of the zero solution of the two-dimensional linear integrable differential systems with singular matrix-elements is characterized.http://dx.doi.org/10.1155/2013/935089 |
| spellingShingle | Siniša Miličić Mervan Pašić Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems Abstract and Applied Analysis |
| title | Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems |
| title_full | Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems |
| title_fullStr | Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems |
| title_full_unstemmed | Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems |
| title_short | Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems |
| title_sort | nonautonomous differential equations in banach space and nonrectifiable attractivity in two dimensional linear differential systems |
| url | http://dx.doi.org/10.1155/2013/935089 |
| work_keys_str_mv | AT sinisamilicic nonautonomousdifferentialequationsinbanachspaceandnonrectifiableattractivityintwodimensionallineardifferentialsystems AT mervanpasic nonautonomousdifferentialequationsinbanachspaceandnonrectifiableattractivityintwodimensionallineardifferentialsystems |