Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces
This paper deals with some existence of mild solutions for two classes of impulsive integrodifferential equations in Banach spaces. Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. Two illustrative examples are give...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/2690125 |
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| author | Saïd Abbas Mouffak Benchohra Gaston M. N'Guérékata |
| author_facet | Saïd Abbas Mouffak Benchohra Gaston M. N'Guérékata |
| author_sort | Saïd Abbas |
| collection | DOAJ |
| description | This paper deals with some existence of mild solutions for two classes of impulsive integrodifferential equations in Banach spaces. Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. Two illustrative examples are given in the last section. |
| format | Article |
| id | doaj-art-127f4a456f4a4c9dbc7b5013aa1d7240 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-127f4a456f4a4c9dbc7b5013aa1d72402025-02-03T05:53:14ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/26901252690125Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach SpacesSaïd Abbas0Mouffak Benchohra1Gaston M. N'Guérékata2Department of Mathematics, Tahar Moulay University of Saida, P.O. Box 138, EN-Nasr, 20000 Saida, AlgeriaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, AlgeriaDepartment of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore MD 21252, USAThis paper deals with some existence of mild solutions for two classes of impulsive integrodifferential equations in Banach spaces. Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. Two illustrative examples are given in the last section.http://dx.doi.org/10.1155/2020/2690125 |
| spellingShingle | Saïd Abbas Mouffak Benchohra Gaston M. N'Guérékata Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces Abstract and Applied Analysis |
| title | Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces |
| title_full | Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces |
| title_fullStr | Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces |
| title_full_unstemmed | Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces |
| title_short | Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces |
| title_sort | instantaneous and noninstantaneous impulsive integrodifferential equations in banach spaces |
| url | http://dx.doi.org/10.1155/2020/2690125 |
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