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An operator method of solving the Cauchy problem for a homogeneous system of partial differential equations

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Abstract

On the basis of a generalized separation-of-variables method we propose an operator method of constructing the solution of the Cauchy problem for a homogeneous system of partial differential equations of first order with respect to time and of infinite order with respect to the spatial variables.

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Authors
  1. Z. M. Nitrebich
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Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.

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Nitrebich, Z.M. An operator method of solving the Cauchy problem for a homogeneous system of partial differential equations. J Math Sci 81, 3034–3038 (1996). https://doi.org/10.1007/BF02362589

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  • DOI: https://doi.org/10.1007/BF02362589

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