On the correct formulation of a nonlinear differential equations in Banach space
We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equ...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201002307 |
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| _version_ | 1832547609038815232 |
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| author | Mahmoud M. El-Borai Osama L. Moustafa Fayez H. Michael |
| author_facet | Mahmoud M. El-Borai Osama L. Moustafa Fayez H. Michael |
| author_sort | Mahmoud M. El-Borai |
| collection | DOAJ |
| description | We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equations. |
| format | Article |
| id | doaj-art-e4f64e701cd74efe892bd6f301675c10 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e4f64e701cd74efe892bd6f301675c102025-02-03T06:44:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126743744410.1155/S0161171201002307On the correct formulation of a nonlinear differential equations in Banach spaceMahmoud M. El-Borai0Osama L. Moustafa1Fayez H. Michael2Faculty of Science, Alexandria University, Alexandria, EgyptFaculty of Science, Alexandria University, Alexandria, EgyptFaculty of Science, Alexandria University, Alexandria, EgyptWe study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equations.http://dx.doi.org/10.1155/S0161171201002307 |
| spellingShingle | Mahmoud M. El-Borai Osama L. Moustafa Fayez H. Michael On the correct formulation of a nonlinear differential equations in Banach space International Journal of Mathematics and Mathematical Sciences |
| title | On the correct formulation of a nonlinear differential equations in Banach space |
| title_full | On the correct formulation of a nonlinear differential equations in Banach space |
| title_fullStr | On the correct formulation of a nonlinear differential equations in Banach space |
| title_full_unstemmed | On the correct formulation of a nonlinear differential equations in Banach space |
| title_short | On the correct formulation of a nonlinear differential equations in Banach space |
| title_sort | on the correct formulation of a nonlinear differential equations in banach space |
| url | http://dx.doi.org/10.1155/S0161171201002307 |
| work_keys_str_mv | AT mahmoudmelborai onthecorrectformulationofanonlineardifferentialequationsinbanachspace AT osamalmoustafa onthecorrectformulationofanonlineardifferentialequationsinbanachspace AT fayezhmichael onthecorrectformulationofanonlineardifferentialequationsinbanachspace |