Successive iteration and positive solutions for nonlinear \(m\)-point boundary value problems on time scales (Q1040148)
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scientific article; zbMATH DE number 5637378
| Language | Label | Description | Also known as |
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| English | Successive iteration and positive solutions for nonlinear \(m\)-point boundary value problems on time scales |
scientific article; zbMATH DE number 5637378 |
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Successive iteration and positive solutions for nonlinear \(m\)-point boundary value problems on time scales (English)
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23 November 2009
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Summary: We study the existence of positive solutions for a class of \(m\)-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.
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