Power expansions of solutions of an algebraic or a differential equation. (Q1432638)
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scientific article; zbMATH DE number 2074899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Power expansions of solutions of an algebraic or a differential equation. |
scientific article; zbMATH DE number 2074899 |
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Power expansions of solutions of an algebraic or a differential equation. (English)
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15 June 2004
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Generalizations of the classical Cauchy and Cauchy-Kovalevskaya theorems on the existence and uniqueness of an analytical solution to a single analytical or differential equation are given in terms of power geometry [\textit{A. D. Bruno}, Power geometry in algebraic and differential equations. North-Holland Mathematical Library 57. Amsterdam: North-Holland (2000; Zbl 0955.34002)]. Applications of the theory to some complicated cases are given.
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