The asymptotical solving of the equation \(y'=A(t)y\) with a 2\(\times 2\) matrix A(t), in the oscillation case (Q1067069)
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scientific article; zbMATH DE number 3927412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotical solving of the equation \(y'=A(t)y\) with a 2\(\times 2\) matrix A(t), in the oscillation case |
scientific article; zbMATH DE number 3927412 |
Statements
The asymptotical solving of the equation \(y'=A(t)y\) with a 2\(\times 2\) matrix A(t), in the oscillation case (English)
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1985
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Summary: A linear homogeneous system of two ordinary scalar differential equations, in the case of oscillatory solutions, is asymptotically solved in two ways, using two different systems asymptotically equivalent to a convenient canonical form of the given system. For both the proposed solutions strict numerical bounds of the error are given and compared.
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linear homogeneous system
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oscillatory solutions
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numerical bounds of the error
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