A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations
We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of solutions for a class of nonlinear Volterra integr...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/3579079 |
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| author | H. Mehravaran M. Khanehgir R. Allahyari |
| author_facet | H. Mehravaran M. Khanehgir R. Allahyari |
| author_sort | H. Mehravaran |
| collection | DOAJ |
| description | We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of solutions for a class of nonlinear Volterra integrodifferential equations. Further, we give an illustrative example to verify the effectiveness and applicability of our results. |
| format | Article |
| id | doaj-art-ef1c0bcf7ed043578d84c06ec4f0abb5 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ef1c0bcf7ed043578d84c06ec4f0abb52025-02-03T01:01:43ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/35790793579079A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential EquationsH. Mehravaran0M. Khanehgir1R. Allahyari2Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranWe study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of solutions for a class of nonlinear Volterra integrodifferential equations. Further, we give an illustrative example to verify the effectiveness and applicability of our results.http://dx.doi.org/10.1155/2018/3579079 |
| spellingShingle | H. Mehravaran M. Khanehgir R. Allahyari A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations Journal of Mathematics |
| title | A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations |
| title_full | A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations |
| title_fullStr | A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations |
| title_full_unstemmed | A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations |
| title_short | A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations |
| title_sort | family of measures of noncompactness in the locally sobolev spaces and its applications to some nonlinear volterra integrodifferential equations |
| url | http://dx.doi.org/10.1155/2018/3579079 |
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