Solvability and the number of solutions of Hammerstein equations
We study the solvability and the number of solutions to Hammerstein operator equations in Banach spaces using a projection like method and degree theory for corresponsing vector fields. The linear part is assumed to be either selfadjoint or non-seladjoint. We present also applications to Hammerstein...
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| Format: | Article |
| Language: | English |
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Texas State University
2004-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/54/abstr.html |
| _version_ | 1818379468243206144 |
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| author | Petronije S. Milojevic |
| author_facet | Petronije S. Milojevic |
| author_sort | Petronije S. Milojevic |
| collection | DOAJ |
| description | We study the solvability and the number of solutions to Hammerstein operator equations in Banach spaces using a projection like method and degree theory for corresponsing vector fields. The linear part is assumed to be either selfadjoint or non-seladjoint. We present also applications to Hammerstein integral equations. |
| first_indexed | 2024-12-14T02:03:16Z |
| format | Article |
| id | doaj.art-e90a3e7a390a462fad258058515f1ddf |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T02:03:16Z |
| publishDate | 2004-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e90a3e7a390a462fad258058515f1ddf2022-12-21T23:20:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-01200454112Solvability and the number of solutions of Hammerstein equationsPetronije S. MilojevicWe study the solvability and the number of solutions to Hammerstein operator equations in Banach spaces using a projection like method and degree theory for corresponsing vector fields. The linear part is assumed to be either selfadjoint or non-seladjoint. We present also applications to Hammerstein integral equations.http://ejde.math.txstate.edu/Volumes/2004/54/abstr.htmlApproximation solvabilityHammerstein equationsA-proper maps. |
| spellingShingle | Petronije S. Milojevic Solvability and the number of solutions of Hammerstein equations Electronic Journal of Differential Equations Approximation solvability Hammerstein equations A-proper maps. |
| title | Solvability and the number of solutions of Hammerstein equations |
| title_full | Solvability and the number of solutions of Hammerstein equations |
| title_fullStr | Solvability and the number of solutions of Hammerstein equations |
| title_full_unstemmed | Solvability and the number of solutions of Hammerstein equations |
| title_short | Solvability and the number of solutions of Hammerstein equations |
| title_sort | solvability and the number of solutions of hammerstein equations |
| topic | Approximation solvability Hammerstein equations A-proper maps. |
| url | http://ejde.math.txstate.edu/Volumes/2004/54/abstr.html |
| work_keys_str_mv | AT petronijesmilojevic solvabilityandthenumberofsolutionsofhammersteinequations |