On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane
In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel involved in such equations under which we guarant...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2022/5482688 |
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| _version_ | 1832565749437169664 |
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| author | Jurancy Ereú Liliana Pérez Luz Rodríguez |
| author_facet | Jurancy Ereú Liliana Pérez Luz Rodríguez |
| author_sort | Jurancy Ereú |
| collection | DOAJ |
| description | In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel involved in such equations under which we guarantee the existence and uniqueness in the space of functions of bounded variation in the sense of Shiba on the plane, ΛpBVIab,ℝ. |
| format | Article |
| id | doaj-art-dc5b30350a7a482587a80bc6c4007e42 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-dc5b30350a7a482587a80bc6c4007e422025-02-03T01:06:49ZengWileyInternational Journal of Differential Equations1687-96512022-01-01202210.1155/2022/5482688On ΛpBV-Solutions of Some Nonlinear Integral Equations on the PlaneJurancy Ereú0Liliana Pérez1Luz Rodríguez2Departamento de MatemáticasEscuela Superior Politécnica del LitoralEscuela Superior Politécnica del LitoralIn this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel involved in such equations under which we guarantee the existence and uniqueness in the space of functions of bounded variation in the sense of Shiba on the plane, ΛpBVIab,ℝ.http://dx.doi.org/10.1155/2022/5482688 |
| spellingShingle | Jurancy Ereú Liliana Pérez Luz Rodríguez On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane International Journal of Differential Equations |
| title | On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane |
| title_full | On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane |
| title_fullStr | On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane |
| title_full_unstemmed | On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane |
| title_short | On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane |
| title_sort | on λpbv solutions of some nonlinear integral equations on the plane |
| url | http://dx.doi.org/10.1155/2022/5482688 |
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