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The Cauchy problem for a system of two partial differential equations of infinite order

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Abstract

Starting from the generalized scheme of separation of variables, we propose a new effective method of constructing the solution of the Cauchy problem for a system of two partial differential equations, in general of infinite order with respect to the spatial variable. We consider the example of the Cauchy problem for the system of Lamé equations in the case of a two-dimensional strain.

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Authors
  1. P. I. Kalenyuk
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  2. Z. M. Nitrebich
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 204–210.

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Kalenyuk, P.I., Nitrebich, Z.M. The Cauchy problem for a system of two partial differential equations of infinite order. J Math Sci 67, 3018–3024 (1993). https://doi.org/10.1007/BF01095889

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  • DOI: https://doi.org/10.1007/BF01095889

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