Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order (Q327078)
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scientific article; zbMATH DE number 6638090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order |
scientific article; zbMATH DE number 6638090 |
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Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order (English)
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13 October 2016
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The authors introduce the notion of a resolving sequence of (scalar) operators for a given differential or difference system with coefficients in some differential or difference field \(\mathbb{K}\). They propose an algorithm to construct such a sequence, and give some examples of the use of this sequence as a suitable auxiliary tool for finding certain kinds of solutions of differential and difference systems of arbitrary order. Finally, implementations of these algorithms by using Maple 2015 are discussed.
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higher-order linear systems of differential and difference equations
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resolving sequence of operators
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embracing system
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companion matrix
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cyclic vector
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hypergeometric solutions of difference systems
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formal exponential-logarithmic solutions of differential systems
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algorithm
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