General solution of an infinite triangular system of ordinary differential equations (Q797742)

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scientific article; zbMATH DE number 3867741
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General solution of an infinite triangular system of ordinary differential equations
scientific article; zbMATH DE number 3867741

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    General solution of an infinite triangular system of ordinary differential equations (English)
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    1983
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    A notion of dependent and independent solutions to an infinite triangular system of m-th order ordinary differential equations as well as notions of the Wronskian and of the fundamental system of solutions to such equations are introduced in the paper. The existence of a fundamental system of solutions is proved, too.
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    independent solutions
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    infinite triangular system
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    fundamental system
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