Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces
A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the res...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/31256 |
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| _version_ | 1832561916015280128 |
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| author | John R. Graef Abdelghani Ouahab |
| author_facet | John R. Graef Abdelghani Ouahab |
| author_sort | John R. Graef |
| collection | DOAJ |
| description | A recent nonlinear alternative for contraction maps in
Fréchet spaces due to Frigon and Granas is used to
investigate the existence and uniqueness of solutions to
first-order boundary value problems for impulsive functional
differential equations with infinite delay. An example to
illustrate the results is included. |
| format | Article |
| id | doaj-art-6f5568b703cb4eed90f68a3bcddae67d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6f5568b703cb4eed90f68a3bcddae67d2025-02-03T01:23:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3125631256Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spacesJohn R. Graef0Abdelghani Ouahab1Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USADepartment of Mathematics, University of Sidi Bel Abbes, BP 89, Sidi Bel Abbes 2000, AlgeriaA recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the results is included.http://dx.doi.org/10.1155/IJMMS/2006/31256 |
| spellingShingle | John R. Graef Abdelghani Ouahab Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces International Journal of Mathematics and Mathematical Sciences |
| title | Some existence and uniqueness results for first-order boundary
value problems for impulsive functional differential equations
with infinite delay in Fréchet spaces |
| title_full | Some existence and uniqueness results for first-order boundary
value problems for impulsive functional differential equations
with infinite delay in Fréchet spaces |
| title_fullStr | Some existence and uniqueness results for first-order boundary
value problems for impulsive functional differential equations
with infinite delay in Fréchet spaces |
| title_full_unstemmed | Some existence and uniqueness results for first-order boundary
value problems for impulsive functional differential equations
with infinite delay in Fréchet spaces |
| title_short | Some existence and uniqueness results for first-order boundary
value problems for impulsive functional differential equations
with infinite delay in Fréchet spaces |
| title_sort | some existence and uniqueness results for first order boundary value problems for impulsive functional differential equations with infinite delay in frechet spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/31256 |
| work_keys_str_mv | AT johnrgraef someexistenceanduniquenessresultsforfirstorderboundaryvalueproblemsforimpulsivefunctionaldifferentialequationswithinfinitedelayinfrechetspaces AT abdelghaniouahab someexistenceanduniquenessresultsforfirstorderboundaryvalueproblemsforimpulsivefunctionaldifferentialequationswithinfinitedelayinfrechetspaces |