Operator method of solving nonlinear differential equations (Q1873271)

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scientific article; zbMATH DE number 1912632
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Operator method of solving nonlinear differential equations
scientific article; zbMATH DE number 1912632

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    Operator method of solving nonlinear differential equations (English)
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    19 May 2003
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    The author shows how solutions of nonlinear differential equations can be represented by linear operators. A linear generalized operator and a multiplicative operator are constructed for this purpose. Some properties of these operators are presented as well illustrative examples related to solutions of ordinary and partial differential equations.
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    linear operator
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    generalized differentiation operator
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    multiplicative operator
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    operator method
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    numerical examples
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