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Third order differential equations with fixed critical points - MaRDI portal

Third order differential equations with fixed critical points (Q5917527)

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scientific article; zbMATH DE number 2097408
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Third order differential equations with fixed critical points
scientific article; zbMATH DE number 2097408

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    Third order differential equations with fixed critical points (English)
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    7 September 2004
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    A class of third-order homogeneous differential equations is considered whose coefficients are analytic functions of the complex variable. Necessary and sufficient conditions for the coefficients are derived such that the poles are the only movable singularities of the solutions.
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    analytic function
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    simple pole
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    movable singularity
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    residue
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