On the uniqueness of the solution of nonlinear differential-algebraic systems (Q981755)
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scientific article; zbMATH DE number 5729821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of the solution of nonlinear differential-algebraic systems |
scientific article; zbMATH DE number 5729821 |
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On the uniqueness of the solution of nonlinear differential-algebraic systems (English)
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2 July 2010
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The Cauchy problem for a system of nonlinear ordinary differential equations unsolved for the derivative of the unknown vector function and identically degenerate in the domain is considered. It is proved a theorem on the coincidence of two smooth solutions of the considered problem and it is showed that, under some additional assumptions, the above-mentioned problem cannot have classical solutions with less smoothness.
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implicit equations
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initial value problems
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