Global Existence for Functional Differential Equations with State-Dependent Delay
Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/863561 |
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| author | Mouffak Benchohra Imene Medjadj Juan J. Nieto P. Prakash |
| author_facet | Mouffak Benchohra Imene Medjadj Juan J. Nieto P. Prakash |
| author_sort | Mouffak Benchohra |
| collection | DOAJ |
| description | Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions. |
| format | Article |
| id | doaj-art-9f2e62115aef458a97f96b4eb2b6e464 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-9f2e62115aef458a97f96b4eb2b6e4642025-02-03T01:29:12ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/863561863561Global Existence for Functional Differential Equations with State-Dependent DelayMouffak Benchohra0Imene Medjadj1Juan J. Nieto2P. Prakash3Laboratory of Mathematics, University of Sidi Bel-Abbes, P.O. Box 89, 22000 Sidi Bel-Abbes, AlgeriaLaboratory of Mathematics, University of Sidi Bel-Abbes, P.O. Box 89, 22000 Sidi Bel-Abbes, AlgeriaDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartment of Mathematics, Periyar University, Salem, Tamil Nadu 636 011, IndiaOur aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.http://dx.doi.org/10.1155/2013/863561 |
| spellingShingle | Mouffak Benchohra Imene Medjadj Juan J. Nieto P. Prakash Global Existence for Functional Differential Equations with State-Dependent Delay Journal of Function Spaces and Applications |
| title | Global Existence for Functional Differential Equations with State-Dependent Delay |
| title_full | Global Existence for Functional Differential Equations with State-Dependent Delay |
| title_fullStr | Global Existence for Functional Differential Equations with State-Dependent Delay |
| title_full_unstemmed | Global Existence for Functional Differential Equations with State-Dependent Delay |
| title_short | Global Existence for Functional Differential Equations with State-Dependent Delay |
| title_sort | global existence for functional differential equations with state dependent delay |
| url | http://dx.doi.org/10.1155/2013/863561 |
| work_keys_str_mv | AT mouffakbenchohra globalexistenceforfunctionaldifferentialequationswithstatedependentdelay AT imenemedjadj globalexistenceforfunctionaldifferentialequationswithstatedependentdelay AT juanjnieto globalexistenceforfunctionaldifferentialequationswithstatedependentdelay AT pprakash globalexistenceforfunctionaldifferentialequationswithstatedependentdelay |