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On the \(n\)-th order iterative ordinary linear differential equations - MaRDI portal

On the \(n\)-th order iterative ordinary linear differential equations (Q1312257)

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scientific article; zbMATH DE number 493232
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On the \(n\)-th order iterative ordinary linear differential equations
scientific article; zbMATH DE number 493232

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    On the \(n\)-th order iterative ordinary linear differential equations (English)
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    11 July 1994
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    It is first shown that a change of the basis in the solution space of a second order linear differential equation induces a covariant change in the solution space of the corresponding iterative equation. Second it is proved that special solutions of iterative equations determined their equations uniquely.
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    covariant mapping
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    change of the basis
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    second order linear differential equation
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    iterative equation
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