Inversion of higher-order matrix difference and differential equations through their dynamical solutions (Q921306)
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scientific article; zbMATH DE number 4165552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inversion of higher-order matrix difference and differential equations through their dynamical solutions |
scientific article; zbMATH DE number 4165552 |
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Inversion of higher-order matrix difference and differential equations through their dynamical solutions (English)
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1990
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The authors discuss matrix finite difference and ordinary differential equations in terms of their dynamical solutions which correspond to Green functions for initial-value problems. Explicit formulas, which make no use of Jordan decompositions, are derived by using the Laplace transform. The situation for inverting matrix polynomials is also considered.
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matrix finite difference equations
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inversion of matrix polynomials
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ordinary differential equations
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dynamical solutions
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Green functions
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Laplace transform
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