Invariants of third-order ordinary differential equations \(y'''=f(x,y,y',y'')\) via point transformations (Q2800516)
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scientific article; zbMATH DE number 6569634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariants of third-order ordinary differential equations \(y'''=f(x,y,y',y'')\) via point transformations |
scientific article; zbMATH DE number 6569634 |
Statements
15 April 2016
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Lie's infinitesimal method
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differential invariants
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third-order ODEs
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equivalence problem
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point transformations
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relative and absolute invariant differentiation operators
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Invariants of third-order ordinary differential equations \(y'''=f(x,y,y',y'')\) via point transformations (English)
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This paper presents a method to find the relative invariant differentiation operators, and continues this method with Lie's infinitesimal method to study the general class of third-order ODEs \(y'''=f(x, y, y', y'')\). The authors claim that they can find all third-order differential invariants for the third-order equations that are not quadratic in the second-order derivative under an arbitrary point equivalence transformation.
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