The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems (Q606761)
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scientific article; zbMATH DE number 5817310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems |
scientific article; zbMATH DE number 5817310 |
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The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems (English)
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18 November 2010
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This paper proves the convergence of iterative solutions for a class of nonlinear multi-point boundary value problems of order \(2n\). This is done by constructing two monotonic schemes converging to upper and lower solutions, whereby the iteration is governed by \(n\) linear second-order boundary value problems. This work is a theoretical study with no numerics and with only scalar problems being considered.
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multi-point boundary value problems
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upper and lower solutions
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monotone
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iteration
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convergence
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