Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/272479 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849409922903572480 |
|---|---|
| author | Ezzat R. Hassan M. Sh. Alhuthali M. M. Al-Ghanmi |
| author_facet | Ezzat R. Hassan M. Sh. Alhuthali M. M. Al-Ghanmi |
| author_sort | Ezzat R. Hassan |
| collection | DOAJ |
| description | We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well. |
| format | Article |
| id | doaj-art-7599bc1f614043a4923e2c3e4d2e30e5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-7599bc1f614043a4923e2c3e4d2e30e52025-08-20T03:35:20ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/272479272479Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach SpacesEzzat R. Hassan0M. Sh. Alhuthali1M. M. Al-Ghanmi2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well.http://dx.doi.org/10.1155/2014/272479 |
| spellingShingle | Ezzat R. Hassan M. Sh. Alhuthali M. M. Al-Ghanmi Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces The Scientific World Journal |
| title | Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces |
| title_full | Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces |
| title_fullStr | Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces |
| title_full_unstemmed | Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces |
| title_short | Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces |
| title_sort | generalized uniqueness theorem for ordinary differential equations in banach spaces |
| url | http://dx.doi.org/10.1155/2014/272479 |
| work_keys_str_mv | AT ezzatrhassan generalizeduniquenesstheoremforordinarydifferentialequationsinbanachspaces AT mshalhuthali generalizeduniquenesstheoremforordinarydifferentialequationsinbanachspaces AT mmalghanmi generalizeduniquenesstheoremforordinarydifferentialequationsinbanachspaces |