A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides (Q1811783)
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scientific article; zbMATH DE number 1929504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides |
scientific article; zbMATH DE number 1929504 |
Statements
A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides (English)
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17 June 2003
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An existence result for the Carathéodory solution to an initial value problem with nonnegative right-hand side is proved. The approach is based on a new generalized iterative scheme such that in each step an autonomous problem is solved. An interesting example illustrates the approximation scheme.
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ordinary differential equation
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successive approximations
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absolutely continuous function
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0.90682113
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0.8916098
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0.88743865
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0.8795098
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0.87822354
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0.87316024
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