Existence of solutions to neutral differential equations with deviated argument
In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illus...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2008-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=342 |
| _version_ | 1797830748355428352 |
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| author | Malik Muslim Dhirendra Bahuguna |
| author_facet | Malik Muslim Dhirendra Bahuguna |
| author_sort | Malik Muslim |
| collection | DOAJ |
| description | In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results. |
| first_indexed | 2024-04-09T13:42:08Z |
| format | Article |
| id | doaj.art-f089c4407b444ecd994df9a47090ec31 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:42:08Z |
| publishDate | 2008-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f089c4407b444ecd994df9a47090ec312023-05-09T07:52:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752008-09-0120082711210.14232/ejqtde.2008.1.27342Existence of solutions to neutral differential equations with deviated argumentMalik Muslim0Dhirendra Bahuguna1Indian Institute of Science, Bangalore, IndiaIndian Institute of Technology, Kanpur, IndiaIn this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the given problem. Finally, we give examples to illustrate the applications of the abstract results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=342 |
| spellingShingle | Malik Muslim Dhirendra Bahuguna Existence of solutions to neutral differential equations with deviated argument Electronic Journal of Qualitative Theory of Differential Equations |
| title | Existence of solutions to neutral differential equations with deviated argument |
| title_full | Existence of solutions to neutral differential equations with deviated argument |
| title_fullStr | Existence of solutions to neutral differential equations with deviated argument |
| title_full_unstemmed | Existence of solutions to neutral differential equations with deviated argument |
| title_short | Existence of solutions to neutral differential equations with deviated argument |
| title_sort | existence of solutions to neutral differential equations with deviated argument |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=342 |
| work_keys_str_mv | AT malikmuslim existenceofsolutionstoneutraldifferentialequationswithdeviatedargument AT dhirendrabahuguna existenceofsolutionstoneutraldifferentialequationswithdeviatedargument |