On the solution of \((dy/dx)_{ap}=f(x,y)\) (Q1102421)
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scientific article; zbMATH DE number 4050018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solution of \((dy/dx)_{ap}=f(x,y)\) |
scientific article; zbMATH DE number 4050018 |
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On the solution of \((dy/dx)_{ap}=f(x,y)\) (English)
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1987
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An analogy of the Picard's theorem on the solvability of the first order ordinary differential equation is proved. The corresponding problem for approximate derivative which is a generalization of ordinary derivative is solved. In both cases the proofs are done by using the Banach fixed point theorem.
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Picard's theorem
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first order ordinary differential equation
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