Power expansions of solutions of a system of algebraic and differential equations. (Q1432646)
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scientific article; zbMATH DE number 2074905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Power expansions of solutions of a system of algebraic and differential equations. |
scientific article; zbMATH DE number 2074905 |
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Power expansions of solutions of a system of algebraic and differential equations. (English)
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15 June 2004
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The author suggests generalizations of the classical Cauchy and Cauchy-Kovalevskaya theorems on the existence and uniqueness of an analytical solution to a system of analytical or differential equations. These generalizations are given in terms of power geometry [the author, Power geometry in algebraic and differential equations. North-Holland Mathematical Library 57. Amsterdam: North-Holland (2000; Zbl 0955.34002)]. This paper is a continuation of [Dokl. Math. 64, No. 2, 160--164 (2001; Zbl 1052.34009)].
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power geometry
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existence
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uniqueness
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power expansions
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0.94519013
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0.9132775
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0.9087042
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0.89290774
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0.8884935
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0.88792574
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0.88788456
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