Some remarks on the monotone iterative technique
We consider an abstract operator equation in coincidence form \(Lu=N(u)\) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999). An application to a boundary value problem for a second...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2002-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/718 |
| _version_ | 1811294013088595968 |
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| author | Adriana Buică |
| author_facet | Adriana Buică |
| author_sort | Adriana Buică |
| collection | DOAJ |
| description | We consider an abstract operator equation in coincidence form \(Lu=N(u)\) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999). An application to a boundary value problem for a second-order functional differential equation is considered. |
| first_indexed | 2024-04-13T05:10:50Z |
| format | Article |
| id | doaj.art-6b04027837ba44c88eb8d8dfa19ab067 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T05:10:50Z |
| publishDate | 2002-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-6b04027837ba44c88eb8d8dfa19ab0672022-12-22T03:01:02ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2002-08-01312Some remarks on the monotone iterative techniqueAdriana Buică0“Babes-Bolyai” University, Cluj-Napoca, RomaniaWe consider an abstract operator equation in coincidence form \(Lu=N(u)\) and establish some comparison results and existence results via the monotone iterative technique. We use a generalized iteration method developed by Carl-Heikkila (1999). An application to a boundary value problem for a second-order functional differential equation is considered.https://www.ictp.acad.ro/jnaat/journal/article/view/718coincidence operator equationmonotone iterationsboundary value problem |
| spellingShingle | Adriana Buică Some remarks on the monotone iterative technique Journal of Numerical Analysis and Approximation Theory coincidence operator equation monotone iterations boundary value problem |
| title | Some remarks on the monotone iterative technique |
| title_full | Some remarks on the monotone iterative technique |
| title_fullStr | Some remarks on the monotone iterative technique |
| title_full_unstemmed | Some remarks on the monotone iterative technique |
| title_short | Some remarks on the monotone iterative technique |
| title_sort | some remarks on the monotone iterative technique |
| topic | coincidence operator equation monotone iterations boundary value problem |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/718 |
| work_keys_str_mv | AT adrianabuica someremarksonthemonotoneiterativetechnique |