The method of upper and lower solutions and interval method for first order differential equations (Q1090821)
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scientific article; zbMATH DE number 4008832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of upper and lower solutions and interval method for first order differential equations |
scientific article; zbMATH DE number 4008832 |
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The method of upper and lower solutions and interval method for first order differential equations (English)
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1987
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A monotone iterative technique from interval analysis is applied to the initial value problem to obtain lower and upper bounds for solutions in a given sector. If a Lipschitz condition is satisfied relative to the sector, then the unique solution is obtained in this way. Similar results are also given for the periodic boundary value problem.
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constructive existence results
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monotone iterative technique
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interval analysis
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lower and upper bounds
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