Representing the solutions of ordinary differential equations in the form of Lie series (Q1822249)
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scientific article; zbMATH DE number 4002531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representing the solutions of ordinary differential equations in the form of Lie series |
scientific article; zbMATH DE number 4002531 |
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Representing the solutions of ordinary differential equations in the form of Lie series (English)
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1986
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Consider the Cauchy problem for the system \(y_ j'=F_ j(t,y_ 1,y_ 2,...,y_ n)\) \(j=1,...,n\) and assume that the functions \(F_ j\) are sufficiently high differentiable. The authors are concerned with the computation of the coefficients of the Lie series which represents the solution.
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coefficients of Lie series
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first order differential equation
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Cauchy problem
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